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Automorphisms of braid groups on orienta...

An, Byung Hee...

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Automorphisms of braid groups on orientable surfaces by An, Byung Hee ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	13-07-2015
Summary	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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/1507.03312

Citation

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AMA 11th EditionReferences

An, Byung Hee. Automorphisms of braid groups on orientable surfaces. N.A. July 13, 2015. Accessed August 16, 2025. https://online.provdatabase.com/cite/11216

APA 7th EditionReferences

An, Byung Hee. (2015). Automorphisms of braid groups on orientable surfaces. N.A. https://online.provdatabase.com/cite/11216

Chicago 17th EditionReferences

An, Byung Hee. Automorphisms of braid groups on orientable surfaces. N.A. 2015. https://online.provdatabase.com/cite/11216

HarvardReferences

An, Byung Hee. (2015). Automorphisms of braid groups on orientable surfaces. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11216. (Accessed 16 August 2025).

Harvard AustraliaReferences

An, Byung Hee, 2015, Automorphisms of braid groups on orientable surfaces, N.A, viewed 16 August 2025, <https://online.provdatabase.com/cite/11216>

MLA 9th EditionWorks Cited

An, Byung Hee. Automorphisms of braid groups on orientable surfaces. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11216.

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