On a maximal subgroup of the symplectic group Sp(8, 2)

Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the cose...
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Gespeichert in:

Autor*in:	Ali, Faryad [verfasserIn] Basheer, Ayoub B. M. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	Group extensions Alternating group Inertia groups Fischer matrices Character table

Anmerkung:	© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021

Übergeordnetes Werk:	Enthalten in: Afrika Matematika - Berlin : Springer, 2011, 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562
Übergeordnetes Werk:	volume:32 ; year:2021 ; number:7-8 ; day:20 ; month:07 ; pages:1531-1562

Links:	Volltext

DOI / URN:	10.1007/s13370-021-00917-2

Katalog-ID:	SPR045333645

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245	1	0	\|a On a maximal subgroup of the symplectic group Sp(8, 2)
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520			\|a Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16.
650		4	\|a Group extensions \|7 (dpeaa)DE-He213
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650		4	\|a Inertia groups \|7 (dpeaa)DE-He213
650		4	\|a Fischer matrices \|7 (dpeaa)DE-He213
650		4	\|a Character table \|7 (dpeaa)DE-He213
700	1		\|a Basheer, Ayoub B. M. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Afrika Matematika \|d Berlin : Springer, 2011 \|g 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 \|w (DE-627)646517430 \|w (DE-600)2594298-0 \|x 2190-7668 \|7 nnns
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912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
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912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
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912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
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912			\|a GBV_ILN_2144
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matchkey_str	article:21907668:2021----::nmxmlugopfhsmlc
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publishDate	2021
allfields	10.1007/s13370-021-00917-2 doi (DE-627)SPR045333645 (SPR)s13370-021-00917-2-e DE-627 ger DE-627 rakwb eng 510 ASE Ali, Faryad verfasserin aut On a maximal subgroup of the symplectic group Sp(8, 2) 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213 Basheer, Ayoub B. M. verfasserin aut Enthalten in Afrika Matematika Berlin : Springer, 2011 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 (DE-627)646517430 (DE-600)2594298-0 2190-7668 nnns volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562 https://dx.doi.org/10.1007/s13370-021-00917-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 32 2021 7-8 20 07 1531-1562
spelling	10.1007/s13370-021-00917-2 doi (DE-627)SPR045333645 (SPR)s13370-021-00917-2-e DE-627 ger DE-627 rakwb eng 510 ASE Ali, Faryad verfasserin aut On a maximal subgroup of the symplectic group Sp(8, 2) 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213 Basheer, Ayoub B. M. verfasserin aut Enthalten in Afrika Matematika Berlin : Springer, 2011 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 (DE-627)646517430 (DE-600)2594298-0 2190-7668 nnns volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562 https://dx.doi.org/10.1007/s13370-021-00917-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 32 2021 7-8 20 07 1531-1562
allfields_unstemmed	10.1007/s13370-021-00917-2 doi (DE-627)SPR045333645 (SPR)s13370-021-00917-2-e DE-627 ger DE-627 rakwb eng 510 ASE Ali, Faryad verfasserin aut On a maximal subgroup of the symplectic group Sp(8, 2) 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213 Basheer, Ayoub B. M. verfasserin aut Enthalten in Afrika Matematika Berlin : Springer, 2011 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 (DE-627)646517430 (DE-600)2594298-0 2190-7668 nnns volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562 https://dx.doi.org/10.1007/s13370-021-00917-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 32 2021 7-8 20 07 1531-1562
allfieldsGer	10.1007/s13370-021-00917-2 doi (DE-627)SPR045333645 (SPR)s13370-021-00917-2-e DE-627 ger DE-627 rakwb eng 510 ASE Ali, Faryad verfasserin aut On a maximal subgroup of the symplectic group Sp(8, 2) 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213 Basheer, Ayoub B. M. verfasserin aut Enthalten in Afrika Matematika Berlin : Springer, 2011 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 (DE-627)646517430 (DE-600)2594298-0 2190-7668 nnns volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562 https://dx.doi.org/10.1007/s13370-021-00917-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 32 2021 7-8 20 07 1531-1562
allfieldsSound	10.1007/s13370-021-00917-2 doi (DE-627)SPR045333645 (SPR)s13370-021-00917-2-e DE-627 ger DE-627 rakwb eng 510 ASE Ali, Faryad verfasserin aut On a maximal subgroup of the symplectic group Sp(8, 2) 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021 Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213 Basheer, Ayoub B. M. verfasserin aut Enthalten in Afrika Matematika Berlin : Springer, 2011 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 (DE-627)646517430 (DE-600)2594298-0 2190-7668 nnns volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562 https://dx.doi.org/10.1007/s13370-021-00917-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 32 2021 7-8 20 07 1531-1562
language	English
source	Enthalten in Afrika Matematika 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562
sourceStr	Enthalten in Afrika Matematika 32(2021), 7-8 vom: 20. Juli, Seite 1531-1562 volume:32 year:2021 number:7-8 day:20 month:07 pages:1531-1562
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Group extensions Alternating group Inertia groups Fischer matrices Character table
dewey-raw	510
isfreeaccess_bool	false
container_title	Afrika Matematika
authorswithroles_txt_mv	Ali, Faryad @@aut@@ Basheer, Ayoub B. M. @@aut@@
publishDateDaySort_date	2021-07-20T00:00:00Z
hierarchy_top_id	646517430
dewey-sort	3510
id	SPR045333645
language_de	englisch
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author	Ali, Faryad
spellingShingle	Ali, Faryad ddc 510 misc Group extensions misc Alternating group misc Inertia groups misc Fischer matrices misc Character table On a maximal subgroup of the symplectic group Sp(8, 2)
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topic_title	510 ASE On a maximal subgroup of the symplectic group Sp(8, 2) Group extensions (dpeaa)DE-He213 Alternating group (dpeaa)DE-He213 Inertia groups (dpeaa)DE-He213 Fischer matrices (dpeaa)DE-He213 Character table (dpeaa)DE-He213
topic	ddc 510 misc Group extensions misc Alternating group misc Inertia groups misc Fischer matrices misc Character table
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title	On a maximal subgroup of the symplectic group Sp(8, 2)
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title_full	On a maximal subgroup of the symplectic group Sp(8, 2)
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author_browse	Ali, Faryad Basheer, Ayoub B. M.
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title_sort	on a maximal subgroup of the symplectic group sp(8, 2)
title_auth	On a maximal subgroup of the symplectic group Sp(8, 2)
abstract	Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021
abstractGer	Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021
abstract_unstemmed	Abstract The simple symplectic group Sp(8, 2) has 11 conugacy classes of maximal subgroups. The fourth maximal subgroup of Sp(8, 2) is a group of the form %$2^{10}{:}A_{8}:= \overline{G}.%$ In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford–Fischer Theory. We determined the inertia factor groups of %$\overline{G}%$ and there are 7 such groups having the forms: %$H_{1} = A_{8},%%%$H_{2} = 2^{3}{:}GL(3,2),%%%$H_{3} = 2^{4}{:}(S_{3}\times S_{3}),%%%$H_{4} = 2^{3}{:}S_{4},%%%$H_{5} = S_{5},%%%$H_{6} = (S_{3}\times S_{3}){:}2%$ and %$H_{7} = 2 \times S_{4}.%$ The character table of %$\overline{G}%$ is a %$81 \times 81%$ complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 16. © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2021
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title_short	On a maximal subgroup of the symplectic group Sp(8, 2)
url	https://dx.doi.org/10.1007/s13370-021-00917-2
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score	7.4019346

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On a maximal subgroup of the symplectic group Sp(8, 2)

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Zugang & Verfügbarkeit

Vorhandene Bände

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