ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS

被引：3

作者：

Bellingeri, Paolo ^{[1
]}

Godelle, Eddy

Guaschi, John

机构：

[1] Normandie Univ, Caen, France

来源：

GLASGOW MATHEMATICAL JOURNAL | 2017年 / 59卷 / 01期

关键词：

SHORT EXACT SEQUENCE; FINITE-TYPE; REPRESENTATIONS; LINEARITY; SUBGROUPS; SERIES;

D O I：

10.1017/S0017089516000070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：119 / 142

页数：24

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