Holt, Derek F. and Tracey, Gareth M. (2022) Comparing the order and the minimal number of generators of a finite irreducible linear group. Journal of Algebra, 603 . pp. 260-280. doi:10.1016/j.jalgebra.2022.02.027 ISSN 0021-8693.

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Abstract

We denote the smallest size of a generating set of a group G by . We prove that for irreducible subgroups G of , and estimate the associated constants. The result is motivated by attempts to bound the complexity of computing the automorphism groups of various classes of finite groups.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Finite groups , Group theory -- Data processing, Combinatorial group theory -- Data processing
Journal or Publication Title:	Journal of Algebra
Publisher:	Academic Press Inc Elsevier Science
ISSN:	0021-8693
Official Date:	1 August 2022
Dates:	Date Event 1 August 2022 Published 7 April 2022 Available 6 April 2022 Accepted
Volume:	603
Page Range:	pp. 260-280
DOI:	10.1016/j.jalgebra.2022.02.027
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	11 April 2022

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