Deformation theory and finite simple quotients of triangle groups II

Michael Larsen; Alexander Lubotzky; Claude Marion

doi:10.4171/GGD/249

Deformation theory and finite simple quotients of triangle groups II

Michael Larsen
, Alexander Lubotzky
, Claude Marion

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

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 PGL2(R) as well as deformations of representations which are very different from the principal homomorphism.

Original language	English
Pages (from-to)	811-836
Number of pages	26
Journal	Groups, Geometry, and Dynamics
Volume	8
Issue number	3
DOIs	https://doi.org/10.4171/GGD/249
State	Published - 2014

Keywords

Finite simple groups
Representation varieties
Triangle groups

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/249

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abstract = "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 PGL2(R) as well as deformations of representations which are very different from the principal homomorphism.",

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author = "Michael Larsen and Alexander Lubotzky and Claude Marion",

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AU - Lubotzky, Alexander

AU - Marion, Claude

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AB - 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 PGL2(R) as well as deformations of representations which are very different from the principal homomorphism.

KW - Finite simple groups

KW - Representation varieties

KW - Triangle groups

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U2 - 10.4171/GGD/249

DO - 10.4171/GGD/249

M3 - Article

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VL - 8

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EP - 836

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

IS - 3

ER -

Deformation theory and finite simple quotients of triangle groups II

Abstract

Keywords

ASJC Scopus subject areas

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