Deformation theory and finite simple quotients of triangle groups. I.

DOI10.4171/JEMS/463zbMath1312.20030arXiv1301.2949MaRDI QIDQ461275

Alexander Lubotzky, Claude Marion, Michael J. Larsen

Publication date: 10 October 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2949

zbMATH Keywords

presentationsfinite simple groupsFuchsian groupsrepresentation varietiestriangle groupsHurwitz groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Finite simple groups and their classification (20D05)

Related Items (11)

On finite simple images of triangle groups ⋮ Hurwitz Generation of PS_p6(q) ⋮ Varieties of elements of given order in simple algebraic groups ⋮ Hurwitz generation in groups of types \(F_4\), \(E_6\), \(^2E_6\), \(E_7\) and \(E_8\) ⋮ Two new proofs of the fact that triangle groups are distinguished by their finite quotients ⋮ Regular maps with an alternating or symmetric group as automorphism group ⋮ On the finite simple images of free products of finite groups ⋮ Character ratios, representation varieties and random generation of finite groups of Lie type ⋮ Applications of character theory of finite simple groups ⋮ Beauville Surfaces and Probabilistic Group Theory ⋮ Efficiency of profinite rigidity of triangle groups

Cites Work

• Hurwitz groups: A brief survey
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