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Automorphisms of pure braid groups. / Bardakov, Valeriy G.; Neshchadim, Mikhail V.; Singh, Mahender.

в: Monatshefte fur Mathematik, Том 187, № 1, 01.09.2018, стр. 1-19.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Bardakov, VG, Neshchadim, MV & Singh, M 2018, 'Automorphisms of pure braid groups', Monatshefte fur Mathematik, Том. 187, № 1, стр. 1-19. https://doi.org/10.1007/s00605-017-1073-7

APA

Vancouver

Bardakov VG, Neshchadim MV, Singh M. Automorphisms of pure braid groups. Monatshefte fur Mathematik. 2018 сент. 1;187(1):1-19. doi: 10.1007/s00605-017-1073-7

Author

Bardakov, Valeriy G. ; Neshchadim, Mikhail V. ; Singh, Mahender. / Automorphisms of pure braid groups. в: Monatshefte fur Mathematik. 2018 ; Том 187, № 1. стр. 1-19.

BibTeX

@article{b6dd60037b3f4eb7934b75aa8227778e,
title = "Automorphisms of pure braid groups",
abstract = "In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for n> 3 , Aut (P n ) is generated by the subgroup Aut c (P n ) of central automorphisms of P n , the subgroup Aut (B n ) of restrictions of automorphisms of B n on P n and one extra automorphism w n . We also investigate the lifting and extension problem for automorphisms of some well-known exact sequences arising from braid groups, and prove that that answers are negative in most cases. Specifically, we prove that no non-trivial central automorphism of P n can be extended to an automorphism of B n . ",
keywords = "Braid group, Central automorphism, Extended mapping class group, Pure braid group, GROUP EXTENSIONS",
author = "Bardakov, {Valeriy G.} and Neshchadim, {Mikhail V.} and Mahender Singh",
note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag GmbH Austria.",
year = "2018",
month = sep,
day = "1",
doi = "10.1007/s00605-017-1073-7",
language = "English",
volume = "187",
pages = "1--19",
journal = "Monatshefte fur Mathematik",
issn = "0026-9255",
publisher = "Springer-Verlag GmbH and Co. KG",
number = "1",

}

RIS

TY - JOUR

T1 - Automorphisms of pure braid groups

AU - Bardakov, Valeriy G.

AU - Neshchadim, Mikhail V.

AU - Singh, Mahender

N1 - Publisher Copyright: © 2017, Springer-Verlag GmbH Austria.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for n> 3 , Aut (P n ) is generated by the subgroup Aut c (P n ) of central automorphisms of P n , the subgroup Aut (B n ) of restrictions of automorphisms of B n on P n and one extra automorphism w n . We also investigate the lifting and extension problem for automorphisms of some well-known exact sequences arising from braid groups, and prove that that answers are negative in most cases. Specifically, we prove that no non-trivial central automorphism of P n can be extended to an automorphism of B n .

AB - In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for n> 3 , Aut (P n ) is generated by the subgroup Aut c (P n ) of central automorphisms of P n , the subgroup Aut (B n ) of restrictions of automorphisms of B n on P n and one extra automorphism w n . We also investigate the lifting and extension problem for automorphisms of some well-known exact sequences arising from braid groups, and prove that that answers are negative in most cases. Specifically, we prove that no non-trivial central automorphism of P n can be extended to an automorphism of B n .

KW - Braid group

KW - Central automorphism

KW - Extended mapping class group

KW - Pure braid group

KW - GROUP EXTENSIONS

UR - http://www.scopus.com/inward/record.url?scp=85020546801&partnerID=8YFLogxK

U2 - 10.1007/s00605-017-1073-7

DO - 10.1007/s00605-017-1073-7

M3 - Article

AN - SCOPUS:85020546801

VL - 187

SP - 1

EP - 19

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

SN - 0026-9255

IS - 1

ER -

ID: 9033515