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ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  10 June 2016

PAOLO BELLINGERI ,
EDDY GODELLE  and
JOHN GUASCHI
PAOLO BELLINGERI
Affiliation:
Normandie Univ, France, e-mails: paolo.bellingeri@unicaen.fr, eddy.godelle@unicaen.fr, john.guaschi@unicaen.fr UNICAEN, LMNO, CNRS UMR 6139, F-14032 Caen, France
EDDY GODELLE
Affiliation:
Normandie Univ, France, e-mails: paolo.bellingeri@unicaen.fr, eddy.godelle@unicaen.fr, john.guaschi@unicaen.fr UNICAEN, LMNO, CNRS UMR 6139, F-14032 Caen, France
JOHN GUASCHI
Affiliation:
Normandie Univ, France, e-mails: paolo.bellingeri@unicaen.fr, eddy.godelle@unicaen.fr, john.guaschi@unicaen.fr UNICAEN, LMNO, CNRS UMR 6139, F-14032 Caen, France
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Abstract

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In 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.

MSC classification

Primary: 20F14: Derived series, central series, and generalizations
Secondary: 20F36: Braid groups; Artin groups
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 1 , January 2017 , pp. 119 - 142
Copyright
Copyright © Glasgow Mathematical Journal Trust 2016 

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