Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or by Three Involutions

被引：1

作者：

Altunoz, Tulin ^{[1
,2
]}

Pamuk, Mehmetcik ^{[2
]}

Yildiz, Oguz ^{[2
]}

机构：

[1] Baskent Univ, Fac Engn, Ankara, Turkey

[2] Middle East Tech Univ, Dept Math, Ankara, Turkey

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2022年 / 53卷 / 04期

关键词：

Mapping class groups; Nonorientable surfaces; Involutions;

D O I：

10.1007/s00574-022-00299-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, for g >= 19 the mapping class group of a nonorientable surface of genus g, Mod(N-g), can be generated by two elements, one of which is of order g. We also prove that for g >= 26, Mod(N-g) can be generated by three involutions.

引用

页码：1145 / 1156

页数：12

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