The braid group
Let n , m ∈ N , and let B n ,...
Ausführliche Beschreibung
Autor*in: |
Makri, Stavroula [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2022 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Topology and its applications - Amsterdam [u.a.] : Elsevier, 1980, 318 |
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Übergeordnetes Werk: |
volume:318 |
DOI / URN: |
10.1016/j.topol.2022.108202 |
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Katalog-ID: |
ELV008336431 |
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100 | 1 | |a Makri, Stavroula |e verfasserin |0 (orcid)0000-0002-4156-7789 |4 aut | |
245 | 1 | 0 | |a The braid group |
264 | 1 | |c 2022 | |
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337 | |a Computermedien |b c |2 rdamedia | ||
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520 | |a Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . | ||
650 | 4 | |a Surface braid group | |
650 | 4 | |a Group presentation | |
650 | 4 | |a Fadell–Neuwirth short exact sequence | |
650 | 4 | |a Section problem | |
650 | 4 | |a Fibration | |
650 | 4 | |a Residually nilpotent | |
650 | 4 | |a Residually solvable | |
773 | 0 | 8 | |i Enthalten in |t Topology and its applications |d Amsterdam [u.a.] : Elsevier, 1980 |g 318 |h Online-Ressource |w (DE-627)306652862 |w (DE-600)1499758-7 |w (DE-576)081954425 |7 nnns |
773 | 1 | 8 | |g volume:318 |
912 | |a GBV_USEFLAG_U | ||
912 | |a SYSFLAG_U | ||
912 | |a GBV_ELV | ||
912 | |a SSG-OPC-MAT | ||
912 | |a GBV_ILN_20 | ||
912 | |a GBV_ILN_22 | ||
912 | |a GBV_ILN_23 | ||
912 | |a GBV_ILN_24 | ||
912 | |a GBV_ILN_31 | ||
912 | |a GBV_ILN_32 | ||
912 | |a GBV_ILN_40 | ||
912 | |a GBV_ILN_60 | ||
912 | |a GBV_ILN_62 | ||
912 | |a GBV_ILN_63 | ||
912 | |a GBV_ILN_65 | ||
912 | |a GBV_ILN_69 | ||
912 | |a GBV_ILN_70 | ||
912 | |a GBV_ILN_73 | ||
912 | |a GBV_ILN_74 | ||
912 | |a GBV_ILN_90 | ||
912 | |a GBV_ILN_95 | ||
912 | |a GBV_ILN_100 | ||
912 | |a GBV_ILN_105 | ||
912 | |a GBV_ILN_110 | ||
912 | |a GBV_ILN_150 | ||
912 | |a GBV_ILN_151 | ||
912 | |a GBV_ILN_224 | ||
912 | |a GBV_ILN_370 | ||
912 | |a GBV_ILN_602 | ||
912 | |a GBV_ILN_702 | ||
912 | |a GBV_ILN_2003 | ||
912 | |a GBV_ILN_2004 | ||
912 | |a GBV_ILN_2005 | ||
912 | |a GBV_ILN_2011 | ||
912 | |a GBV_ILN_2014 | ||
912 | |a GBV_ILN_2015 | ||
912 | |a GBV_ILN_2020 | ||
912 | |a GBV_ILN_2021 | ||
912 | |a GBV_ILN_2025 | ||
912 | |a GBV_ILN_2027 | ||
912 | |a GBV_ILN_2034 | ||
912 | |a GBV_ILN_2038 | ||
912 | |a GBV_ILN_2044 | ||
912 | |a GBV_ILN_2048 | ||
912 | |a GBV_ILN_2049 | ||
912 | |a GBV_ILN_2050 | ||
912 | |a GBV_ILN_2056 | ||
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_2111 | ||
912 | |a GBV_ILN_2112 | ||
912 | |a GBV_ILN_2113 | ||
912 | |a GBV_ILN_2118 | ||
912 | |a GBV_ILN_2122 | ||
912 | |a GBV_ILN_2129 | ||
912 | |a GBV_ILN_2143 | ||
912 | |a GBV_ILN_2147 | ||
912 | |a GBV_ILN_2148 | ||
912 | |a GBV_ILN_2152 | ||
912 | |a GBV_ILN_2153 | ||
912 | |a GBV_ILN_2190 | ||
912 | |a GBV_ILN_2336 | ||
912 | |a GBV_ILN_2507 | ||
912 | |a GBV_ILN_2522 | ||
912 | |a GBV_ILN_4012 | ||
912 | |a GBV_ILN_4035 | ||
912 | |a GBV_ILN_4037 | ||
912 | |a GBV_ILN_4112 | ||
912 | |a GBV_ILN_4125 | ||
912 | |a GBV_ILN_4126 | ||
912 | |a GBV_ILN_4242 | ||
912 | |a GBV_ILN_4249 | ||
912 | |a GBV_ILN_4251 | ||
912 | |a GBV_ILN_4305 | ||
912 | |a GBV_ILN_4306 | ||
912 | |a GBV_ILN_4307 | ||
912 | |a GBV_ILN_4313 | ||
912 | |a GBV_ILN_4322 | ||
912 | |a GBV_ILN_4323 | ||
912 | |a GBV_ILN_4324 | ||
912 | |a GBV_ILN_4325 | ||
912 | |a GBV_ILN_4326 | ||
912 | |a GBV_ILN_4333 | ||
912 | |a GBV_ILN_4334 | ||
912 | |a GBV_ILN_4335 | ||
912 | |a GBV_ILN_4338 | ||
912 | |a GBV_ILN_4367 | ||
912 | |a GBV_ILN_4393 | ||
912 | |a GBV_ILN_4700 | ||
936 | b | k | |a 31.50 |j Geometrie: Allgemeines |
936 | b | k | |a 31.60 |j Topologie: Allgemeines |
951 | |a AR | ||
952 | |d 318 |
author_variant |
s m sm |
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matchkey_str |
makristavroula:2022----:hbad |
hierarchy_sort_str |
2022 |
bklnumber |
31.50 31.60 |
publishDate |
2022 |
allfields |
10.1016/j.topol.2022.108202 doi (DE-627)ELV008336431 (ELSEVIER)S0166-8641(22)00204-8 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 31.60 bkl Makri, Stavroula verfasserin (orcid)0000-0002-4156-7789 aut The braid group 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . Surface braid group Group presentation Fadell–Neuwirth short exact sequence Section problem Fibration Residually nilpotent Residually solvable Enthalten in Topology and its applications Amsterdam [u.a.] : Elsevier, 1980 318 Online-Ressource (DE-627)306652862 (DE-600)1499758-7 (DE-576)081954425 nnns volume:318 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.50 Geometrie: Allgemeines 31.60 Topologie: Allgemeines AR 318 |
spelling |
10.1016/j.topol.2022.108202 doi (DE-627)ELV008336431 (ELSEVIER)S0166-8641(22)00204-8 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 31.60 bkl Makri, Stavroula verfasserin (orcid)0000-0002-4156-7789 aut The braid group 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . Surface braid group Group presentation Fadell–Neuwirth short exact sequence Section problem Fibration Residually nilpotent Residually solvable Enthalten in Topology and its applications Amsterdam [u.a.] : Elsevier, 1980 318 Online-Ressource (DE-627)306652862 (DE-600)1499758-7 (DE-576)081954425 nnns volume:318 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.50 Geometrie: Allgemeines 31.60 Topologie: Allgemeines AR 318 |
allfields_unstemmed |
10.1016/j.topol.2022.108202 doi (DE-627)ELV008336431 (ELSEVIER)S0166-8641(22)00204-8 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 31.60 bkl Makri, Stavroula verfasserin (orcid)0000-0002-4156-7789 aut The braid group 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . Surface braid group Group presentation Fadell–Neuwirth short exact sequence Section problem Fibration Residually nilpotent Residually solvable Enthalten in Topology and its applications Amsterdam [u.a.] : Elsevier, 1980 318 Online-Ressource (DE-627)306652862 (DE-600)1499758-7 (DE-576)081954425 nnns volume:318 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.50 Geometrie: Allgemeines 31.60 Topologie: Allgemeines AR 318 |
allfieldsGer |
10.1016/j.topol.2022.108202 doi (DE-627)ELV008336431 (ELSEVIER)S0166-8641(22)00204-8 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 31.60 bkl Makri, Stavroula verfasserin (orcid)0000-0002-4156-7789 aut The braid group 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . Surface braid group Group presentation Fadell–Neuwirth short exact sequence Section problem Fibration Residually nilpotent Residually solvable Enthalten in Topology and its applications Amsterdam [u.a.] : Elsevier, 1980 318 Online-Ressource (DE-627)306652862 (DE-600)1499758-7 (DE-576)081954425 nnns volume:318 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.50 Geometrie: Allgemeines 31.60 Topologie: Allgemeines AR 318 |
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10.1016/j.topol.2022.108202 doi (DE-627)ELV008336431 (ELSEVIER)S0166-8641(22)00204-8 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 31.60 bkl Makri, Stavroula verfasserin (orcid)0000-0002-4156-7789 aut The braid group 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . Surface braid group Group presentation Fadell–Neuwirth short exact sequence Section problem Fibration Residually nilpotent Residually solvable Enthalten in Topology and its applications Amsterdam [u.a.] : Elsevier, 1980 318 Online-Ressource (DE-627)306652862 (DE-600)1499758-7 (DE-576)081954425 nnns volume:318 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.50 Geometrie: Allgemeines 31.60 Topologie: Allgemeines AR 318 |
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Topology and its applications |
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Elektronische Aufsätze |
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abstract |
Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . |
abstractGer |
Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . |
abstract_unstemmed |
Let n , m ∈ N , and let B n , m ( R P 2 ) be the set of ( n + m ) -braids of the projective plane whose associated permutation lies in the subgroup S n × S m of the symmetric group S n + m . We study the splitting problem of the following generalisation of the Fadell–Neuwirth short exact sequence: 1 → B m ( R P 2 ∖ { x 1 , … , x n } ) → B n , m ( R P 2 ) → q ¯ B n ( R P 2 ) → 1 , where the map q ¯ can be considered geometrically as the epimorphism that forgets the last m strands, as well as the existence of a section of the corresponding fibration q : F n + m ( R P 2 ) / S n × S m → F n ( R P 2 ) / S n , where we denote by F n ( R P 2 ) the n t h ordered configuration space of the projective plane R P 2 . |
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up_date |
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