Deformation theory and finite simple quotients of triangle groups II

被引：7

作者：

Larsen, Michael ^{[1
]}

Lubotzky, Alexander ^{[2
]}

Marion, Claude ^{[2
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

[2] Hebrew Univ Jerusalem, Einstein Inst Math, IL-91904 Jerusalem, Israel

来源：

GROUPS GEOMETRY AND DYNAMICS | 2014年 / 8卷 / 03期

基金：

美国国家科学基金会;

关键词：

Triangle groups; representation varieties; finite simple groups; ALGEBRAIC-GROUPS; ELEMENTS; LIE;

D O I：

10.4171/GGD/249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of our first paper [10] in which we showed how deformation theory of representation varieties can be used to study finite simple quotients of triangle groups. While in Part I, we mainly used deformations of the principal homomorphism from SO(3, R), in this part we use PGL(2)(R) as well as deformations of representations which are very different from the principal homomorphism.

引用

页码：811 / 836

页数：26

共 15 条

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[2] The Magma algebra system .1. The user language [J].