Congruence subgroups of braid groups

被引：3

作者：

Stylianakis, Charalampos ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math & Stat, Glasgow G12 8QW, Lanark, Scotland

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2018年 / 28卷 / 02期

关键词：

Braid groups; congruence subgroups; symplectic representation; MONODROMY; REPRESENTATIONS;

D O I：

10.1142/S0218196718500169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a description of the generators of the prime level congruence subgroups of braid groups. Also, we give a new presentation of the symplectic group over a finite field, and we calculate the symmetric quotients of the prime level congruence subgroups of braid groups. Finally, we find a finite generating set for the level-3 congruence subgroup of the braid group on three strands.

引用

页码：345 / 364

页数：20

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