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기하학수리물리연구단
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Automorphisms of braid groups on orientable surfaces

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Title
Automorphisms of braid groups on orientable surfaces
Author(s)
Byung Hee An
Subject
Automorphism group, ; braid group, ; mapping class group.
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
DOI
10.1142/S021821651650022X
ISSN
0218-2165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
2016_BHA_Automorphisms of braid groups on orientable surfaces.pdfDownload

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