Small torsion generating sets for hyperelliptic mapping class groups

被引：7

作者：

Stukow, M ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2004年 / 145卷 / 1-3期

关键词：

mapping class group; hyperelliptic mapping class group; symmetries; torsion generators; involutions;

D O I：

10.1016/j.topol.2004.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that both the hyperelliptic mapping class group and the extended hyperelliptic mapping class group are generated by two torsion elements. We also compute the index of the subgroup of the hyperelliptic mapping class group which is generated by involutions and we prove that the extended hyperelliptic mapping class group is generated by three orientation reversing involutions. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：83 / 90

页数：8

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