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

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
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

Access to Document

10.1016/j.aim.2020.107386

Cite this

@article{817cf1fe474c4542916eede5405a61b3,

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\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = nov,

day = "18",

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

language = "אנגלית",

volume = "374",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

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

UR - https://www.scopus.com/pages/publications/85089860754

U2 - 10.1016/j.aim.2020.107386

DO - 10.1016/j.aim.2020.107386

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85089860754

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

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this