Irredundant bases for finite groups of Lie type
File(s)
pjm-v322-n2-p04-s.pdf (392.5 KB)
Published version
Author(s)
Gill, Nick
Liebeck, Martin W
Type
Journal Article
Abstract
We prove that the maximum length of an irredundant base for a primitive action of a finite simple group of Lie type is bounded above by a function which is a polynomial in the rank of the group. We give examples to show that this type of upper bound is best possible.
Date Issued
2023-02
Date Acceptance
2023-02-11
Citation
Pacific Journal of Mathematics, 2023, 322 (2), pp.281-300
URI
URL
DOI
ISSN
0030-8730
Publisher
Mathematical Sciences Publishers (MSP)
Start Page
281
End Page
300
Journal / Book Title
Pacific Journal of Mathematics
Volume
322
Issue
2
Copyright Statement
© 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).
Open Access made possible by participating institutions via Subscribe to Open.
License URL
Identifier
https://msp.org/pjm/2023/322-2/p04.xhtml
Subjects
group of Lie type
irredundant base
Mathematics
PERMUTATION-GROUPS
Physical Sciences
Science & Technology
SIZES
SUBGROUP STRUCTURE
Publication Status
Published
Date Publish Online
2023-05-23