Palindromic automorphisms of free nilpotent groups
In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic aut...
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| Autor*in: |
Bardakov, Valeriy G [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: Journal of pure and applied algebra - Amsterdam : North-Holland Publ., 1971, 221(2017), 2, Seite 316-338 |
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| Übergeordnetes Werk: |
volume:221 ; year:2017 ; number:2 ; pages:316-338 |
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| DOI / URN: |
10.1016/j.jpaa.2016.06.011 |
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| 520 | |a In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. | ||
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| 700 | 1 | |a Singh, Mahender |4 oth | |
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10.1016/j.jpaa.2016.06.011 doi PQ20170721 (DE-627)OLC1990361390 (DE-599)GBVOLC1990361390 (PRQ)a1415-3e086c16a1461eb38386bf2514078bd96dfafc391b9d995402b8d094d7e474b80 (KEY)0029127720170000221000200316palindromicautomorphismsoffreenilpotentgroups DE-627 ger DE-627 rakwb eng 510 DNB SA 6440 AVZ rvk 31.20 bkl Bardakov, Valeriy G verfasserin aut Palindromic automorphisms of free nilpotent groups 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. Group Theory 20E36 20E05 Mathematics 20F28 Gongopadhyay, Krishnendu oth Neshchadim, Mikhail V oth Singh, Mahender oth Enthalten in Journal of pure and applied algebra Amsterdam : North-Holland Publ., 1971 221(2017), 2, Seite 316-338 (DE-627)129289094 (DE-600)120150-5 (DE-576)014470624 0022-4049 nnns volume:221 year:2017 number:2 pages:316-338 http://dx.doi.org/10.1016/j.jpaa.2016.06.011 Volltext http://arxiv.org/abs/1506.03195 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4027 SA 6440 31.20 AVZ AR 221 2017 2 316-338 |
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10.1016/j.jpaa.2016.06.011 doi PQ20170721 (DE-627)OLC1990361390 (DE-599)GBVOLC1990361390 (PRQ)a1415-3e086c16a1461eb38386bf2514078bd96dfafc391b9d995402b8d094d7e474b80 (KEY)0029127720170000221000200316palindromicautomorphismsoffreenilpotentgroups DE-627 ger DE-627 rakwb eng 510 DNB SA 6440 AVZ rvk 31.20 bkl Bardakov, Valeriy G verfasserin aut Palindromic automorphisms of free nilpotent groups 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. Group Theory 20E36 20E05 Mathematics 20F28 Gongopadhyay, Krishnendu oth Neshchadim, Mikhail V oth Singh, Mahender oth Enthalten in Journal of pure and applied algebra Amsterdam : North-Holland Publ., 1971 221(2017), 2, Seite 316-338 (DE-627)129289094 (DE-600)120150-5 (DE-576)014470624 0022-4049 nnns volume:221 year:2017 number:2 pages:316-338 http://dx.doi.org/10.1016/j.jpaa.2016.06.011 Volltext http://arxiv.org/abs/1506.03195 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4027 SA 6440 31.20 AVZ AR 221 2017 2 316-338 |
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10.1016/j.jpaa.2016.06.011 doi PQ20170721 (DE-627)OLC1990361390 (DE-599)GBVOLC1990361390 (PRQ)a1415-3e086c16a1461eb38386bf2514078bd96dfafc391b9d995402b8d094d7e474b80 (KEY)0029127720170000221000200316palindromicautomorphismsoffreenilpotentgroups DE-627 ger DE-627 rakwb eng 510 DNB SA 6440 AVZ rvk 31.20 bkl Bardakov, Valeriy G verfasserin aut Palindromic automorphisms of free nilpotent groups 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. Group Theory 20E36 20E05 Mathematics 20F28 Gongopadhyay, Krishnendu oth Neshchadim, Mikhail V oth Singh, Mahender oth Enthalten in Journal of pure and applied algebra Amsterdam : North-Holland Publ., 1971 221(2017), 2, Seite 316-338 (DE-627)129289094 (DE-600)120150-5 (DE-576)014470624 0022-4049 nnns volume:221 year:2017 number:2 pages:316-338 http://dx.doi.org/10.1016/j.jpaa.2016.06.011 Volltext http://arxiv.org/abs/1506.03195 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4027 SA 6440 31.20 AVZ AR 221 2017 2 316-338 |
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10.1016/j.jpaa.2016.06.011 doi PQ20170721 (DE-627)OLC1990361390 (DE-599)GBVOLC1990361390 (PRQ)a1415-3e086c16a1461eb38386bf2514078bd96dfafc391b9d995402b8d094d7e474b80 (KEY)0029127720170000221000200316palindromicautomorphismsoffreenilpotentgroups DE-627 ger DE-627 rakwb eng 510 DNB SA 6440 AVZ rvk 31.20 bkl Bardakov, Valeriy G verfasserin aut Palindromic automorphisms of free nilpotent groups 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. Group Theory 20E36 20E05 Mathematics 20F28 Gongopadhyay, Krishnendu oth Neshchadim, Mikhail V oth Singh, Mahender oth Enthalten in Journal of pure and applied algebra Amsterdam : North-Holland Publ., 1971 221(2017), 2, Seite 316-338 (DE-627)129289094 (DE-600)120150-5 (DE-576)014470624 0022-4049 nnns volume:221 year:2017 number:2 pages:316-338 http://dx.doi.org/10.1016/j.jpaa.2016.06.011 Volltext http://arxiv.org/abs/1506.03195 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4027 SA 6440 31.20 AVZ AR 221 2017 2 316-338 |
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10.1016/j.jpaa.2016.06.011 doi PQ20170721 (DE-627)OLC1990361390 (DE-599)GBVOLC1990361390 (PRQ)a1415-3e086c16a1461eb38386bf2514078bd96dfafc391b9d995402b8d094d7e474b80 (KEY)0029127720170000221000200316palindromicautomorphismsoffreenilpotentgroups DE-627 ger DE-627 rakwb eng 510 DNB SA 6440 AVZ rvk 31.20 bkl Bardakov, Valeriy G verfasserin aut Palindromic automorphisms of free nilpotent groups 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. Group Theory 20E36 20E05 Mathematics 20F28 Gongopadhyay, Krishnendu oth Neshchadim, Mikhail V oth Singh, Mahender oth Enthalten in Journal of pure and applied algebra Amsterdam : North-Holland Publ., 1971 221(2017), 2, Seite 316-338 (DE-627)129289094 (DE-600)120150-5 (DE-576)014470624 0022-4049 nnns volume:221 year:2017 number:2 pages:316-338 http://dx.doi.org/10.1016/j.jpaa.2016.06.011 Volltext http://arxiv.org/abs/1506.03195 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2005 GBV_ILN_4027 SA 6440 31.20 AVZ AR 221 2017 2 316-338 |
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Palindromic automorphisms of free nilpotent groups |
| abstract |
In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. |
| abstractGer |
In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. |
| abstract_unstemmed |
In this paper, we initiate the study of palindromic automorphisms of groups that are free in some variety. More specifically, we define palindromic automorphisms of free nilpotent groups and show that the set of such automorphisms is a group. We find a generating set for the group of palindromic automorphisms of free nilpotent groups of step 2 and 3. In particular, we obtain a generating set for the group of central palindromic automorphisms of these groups. In the end, we determine central palindromic automorphisms of free nilpotent groups of step 3 which satisfy the necessary condition of Bryant-Gupta-Levin-Mochizuki for a central automorphism to be tame. |
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| title_short |
Palindromic automorphisms of free nilpotent groups |
| url |
http://dx.doi.org/10.1016/j.jpaa.2016.06.011 http://arxiv.org/abs/1506.03195 |
| remote_bool |
false |
| author2 |
Gongopadhyay, Krishnendu Neshchadim, Mikhail V Singh, Mahender |
| author2Str |
Gongopadhyay, Krishnendu Neshchadim, Mikhail V Singh, Mahender |
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129289094 |
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| doi_str |
10.1016/j.jpaa.2016.06.011 |
| up_date |
2024-07-04T00:41:20.882Z |
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