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

Mathematics

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

1 Scopus citations

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

Keywords

Fuchsian groups
Random generation
Representation varieties

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2020.107386

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

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.",

keywords = "Fuchsian groups, Random generation, Representation varieties",

author = "Liebeck, \{Martin W.\} and Aner Shalev and Tiep, \{Pham Huu\}",

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year = "2020",

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day = "18",

doi = "10.1016/j.aim.2020.107386",

language = "English (US)",

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T1 - Character ratios, representation varieties and random generation of finite groups of Lie type

AU - Liebeck, Martin W.

AU - Shalev, Aner

AU - Tiep, Pham Huu

PY - 2020/11/18

Y1 - 2020/11/18

N2 - 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.

AB - 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.

KW - Fuchsian groups

KW - Random generation

KW - Representation varieties

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DO - 10.1016/j.aim.2020.107386

M3 - Article

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JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 107386

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

Abstract

Keywords

ASJC Scopus subject areas

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