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
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2012年 / 42卷 / 04期
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.
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页码：1411 / 1420
页数：10
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