Character ratios, representation varieties and random generation of finite groups of Lie type

Martin W. Liebeck; Aner Shalev; Pham Huu Tiep

doi:10.1016/j.aim.2020.107386

Character ratios, representation varieties and random generation of finite groups of Lie type

Martin W. Liebeck, Aner Shalev, Pham Huu Tiep^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

We use character theory of finite groups of Lie type to establish new results on representation varieties of Fuchsian groups, and also on probabilistic generation of groups of Lie type.

Original language	English
Article number	107386
Journal	Advances in Mathematics
Volume	374
DOIs	https://doi.org/10.1016/j.aim.2020.107386
State	Published - 18 Nov 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Fuchsian groups
Random generation
Representation varieties

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10.1016/j.aim.2020.107386

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abstract = "We use character theory of finite groups of Lie type to establish new results on representation varieties of Fuchsian groups, and also on probabilistic generation of groups of Lie type.",

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Character ratios, representation varieties and random generation of finite groups of Lie type

Abstract

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Keywords

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