Automorphisms of pure braid groups

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DC Field	Value	Language
dc.contributor.author	Singh, Mahender	-
dc.date.accessioned	2020-11-19T06:52:38Z	-
dc.date.available	2020-11-19T06:52:38Z	-
dc.date.issued	2018	-
dc.identifier.citation	Monatshefte fur Mathematik, 187(1), pp. 1-19	en_US
dc.identifier.other	https://doi.org/10.1007/s00605-017-1073-7	-
dc.identifier.uri	https://link.springer.com/article/10.1007/s00605-017-1073-7#Abs1	-
dc.identifier.uri	http://hdl.handle.net/123456789/1868	-
dc.description	Only IISERM authors are available in the record.	-
dc.description.abstract	In this paper, we investigate the structure of the automorphism groups of pure braid groups. We prove that, for 𝑛>3, Aut(𝑃𝑛) is generated by the subgroup Aut𝑐(𝑃𝑛) of central automorphisms of 𝑃𝑛, the subgroup Aut(𝐵𝑛) of restrictions of automorphisms of 𝐵𝑛 on 𝑃𝑛 and one extra automorphism 𝑤𝑛. 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 𝑃𝑛 can be extended to an automorphism of 𝐵𝑛.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer-Verlag Wien	en_US
dc.subject	Braid group	en_US
dc.subject	Central automorphism	en_US
dc.subject	Extended mapping class group	en_US
dc.subject	Pure braid group	en_US
dc.title	Automorphisms of pure braid groups	en_US
dc.type	Article	en_US
Appears in Collections:	Research Articles

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