Infinite presentations for fundamental groups of surfaces

被引：1

作者：

Kobayashi, Ryoma ^{[1
]}

机构：

[1] Ishikawa Coll, Natl Inst Technol, Dept Gen Educ, Tsubata, Ishikawa 9290392, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2023年 / 53卷 / 01期

基金：

日本学术振兴会;

关键词：

Fundamental group; presentation; mapping class group; MAPPING CLASS GROUP; HOMEOTOPY GROUP; GENERATING SET; FINITE-SET; HOMEOMORPHISMS;

D O I：

10.32917/h2022001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any finite type connected surface S , we give an infinite presentation of the fundamental group p1(S , *) of S based at an interior point * A S whose generators are represented by simple loops. When S is non-orientable, we also give an infinite presentation of the subgroup of p1(S , *) generated by elements which are represented by simple loops whose regular neighborhoods are annuli.

引用

页码：87 / 110

页数：24

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