The number of homomorphisms from a finite group to a general linear group

Martin W. Liebeck; Aner Shalev

doi:10.1081/AGB-120027921

The number of homomorphisms from a finite group to a general linear group

Martin W. Liebeck^*
, Aner Shalev

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

Given a finite group A we estimate the number of homomorphisms from A to GL_n(q), where q is a prime power coprime to |A|.

Original language	English
Pages (from-to)	657-661
Number of pages	5
Journal	Communications in Algebra
Volume	32
Issue number	2
DOIs	https://doi.org/10.1081/AGB-120027921
State	Published - 2004

Bibliographical note

Funding Information:
The second author acknowledges the support of an EPSRC Visiting Fellowship at Imperial College London, and grant 2000-053 from the Bi-National Science Foundation United States – Israel.

Keywords

Finite group
General linear group
Representation variety

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10.1081/AGB-120027921

Cite this

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title = "The number of homomorphisms from a finite group to a general linear group",

abstract = "Given a finite group A we estimate the number of homomorphisms from A to GLn(q), where q is a prime power coprime to |A|.",

keywords = "Finite group, General linear group, Representation variety",

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

note = "Funding Information: The second author acknowledges the support of an EPSRC Visiting Fellowship at Imperial College London, and grant 2000-053 from the Bi-National Science Foundation United States – Israel.",

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doi = "10.1081/AGB-120027921",

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AU - Liebeck, Martin W.

AU - Shalev, Aner

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PY - 2004

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N2 - Given a finite group A we estimate the number of homomorphisms from A to GLn(q), where q is a prime power coprime to |A|.

AB - Given a finite group A we estimate the number of homomorphisms from A to GLn(q), where q is a prime power coprime to |A|.

KW - Finite group

KW - General linear group

KW - Representation variety

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AN - SCOPUS:22544433475

SN - 0092-7872

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 2

ER -

The number of homomorphisms from a finite group to a general linear group

Abstract

Bibliographical note

Keywords

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