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.

引用

页码：1411 / 1420

页数：10

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