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
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.
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页码:87 / 110
页数:24
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