ON MINIMAL FINITE QUOTIENTS OF MAPPING CLASS GROUPS

被引:6
|
作者
Zimmermann, Bruno P. [1 ]
机构
[1] Univ Trieste, Dipartimento Matemat & Informat, I-34100 Trieste, Italy
关键词
D O I
10.1216/RMJ-2012-42-4-1411
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that the minimal nontrivial finite quotient group of the mapping class group M-g of a closed orientable surface of genus g is the symplectic group PSp2g(Z(2)), for g = 3 and 4 (this might remain true, however, for arbitrary genus g > 2). We also discuss some results for arbitrary genus g.
引用
收藏
页码:1411 / 1420
页数:10
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