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A bound for the orders of centralizers of irreducible subgroups of algebraic groups
File(s)
10.1515_jgth-2022-0111.pdf (159.15 KB)
Published version
Author(s)
Liebeck, Martin
Type
Journal Article
Abstract
We prove that if 𝐺 is a connected semisimple algebraic group of rank 𝑟, and 𝐻 is a subgroup of 𝐺 that is contained in no proper parabolic subgroup, then we have |CG(H)|<cr|Z(G)| , where 𝑐 is an absolute constant ( c=16 if all simple factors of 𝐺 are classical, and c≤197 in general).
Date Issued
2022-12-07
Date Acceptance
2022-10-19
Citation
Journal of Group Theory, 2022, 26 (4), pp.795-801
URI
URL
DOI
ISSN
1433-5883
Publisher
De Gruyter
Start Page
795
End Page
801
Journal / Book Title
Journal of Group Theory
Volume
26
Issue
4
Copyright Statement
Open Access. © 2023 the author(s), published by De Gruyter. This work is licensed
under the Creative Commons Attribution 4.0 International License
License URL
Identifier
https://www.degruyter.com/document/doi/10.1515/jgth-2022-0111/html
Publication Status
Published
Date Publish Online
2022-12-07