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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

Fuchsian groups
Random generation
Representation varieties

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2020.107386

Cite this

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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",

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

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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 - مقالة

SN - 0001-8708

VL - 374

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 107386

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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