Groups, Geometry, and Dynamics


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Volume 8, Issue 3, 2014, pp. 811–836
DOI: 10.4171/GGD/249

Published online: 2014-10-02

Deformation theory and finite simple quotients of triangle groups II

Michael Larsen[1], Alexander Lubotzky[2] and Claude Marion[3]

(1) Indiana University, Bloomington, United States
(2) Hebrew University, Jerusalem, Israel
(3) Hebrew University, Jerusalem, Israel

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 ${\rm SO}(3,\mathbb R)$, in this part we use ${\rm PGL}_2(\mathbb R)$ as well as deformations of representations which are very different from the principal homomorphism.

Keywords: Triangle groups, representation varieties, finite simple groups

Larsen Michael, Lubotzky Alexander, Marion Claude: Deformation theory and finite simple quotients of triangle groups II. Groups Geom. Dyn. 8 (2014), 811-836. doi: 10.4171/GGD/249