ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS-Reference-Cited by-同舟云学术

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ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS

Published:2016-06-10 Issue:1 Volume:59 Page:119-142
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

BELLINGERI PAOLO,GODELLE EDDY,GUASCHI JOHN

Abstract

AbstractIn this paper, we study Abelian and metabelian quotients of braid groups of oriented surfaces with boundary components. We provide group presentations and we prove rigidity results for these quotients arising from exact sequences related to (generalised) Fadell–Neuwirth fibrations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference29 articles.

1. The braid groups of E2 and S2

2. On the linearity of Artin braid groups

3. Linearity of artin groups of finite type

4. Lower central series of Artin–Tits and surface braid groups

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