BROWSE

Related Scientist

Researcher

안병희
기하학 수리물리 연구단
more info

Automorphisms of braid groups on orientable surfaces

Cited 0 time in webofscience Cited 0 time in scopus
122 Viewed 1 Downloaded
Title
Automorphisms of braid groups on orientable surfaces
Author(s)
Byung Hee An
Publication Date
2016-04
Journal
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.25, no.5, pp.1650022 -
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Abstract
In this paper, we compute the automorphism groups Aut(Pn(Σ)) and Aut(Bn(Σ)) of braid groups Pn(Σ) and Bn(Σ) on every orientable surface Σ, which are isomorphic to group extensions of the extended mapping class group M∗n(Σ) by the transvection subgroup except for a few cases. We also prove that Pn(Σ) is always a characteristic subgroup of Bn(Σ), unless Σ is a twice-punctured sphere and n = 2. (c) World Scientific Publishing Company
URI
https://pr.ibs.re.kr/handle/8788114/3068
ISSN
0218-2165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2016_BHA_Automorphisms of braid groups on orientable surfaces.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse