Involutions in finite simple groups as products of conjugates
File(s)
Author(s)
Dona, Daniele
Liebeck, Martin
Rekvenyi, Kamilla
Type
Journal Article
Abstract
Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and ΓC the Cayley graph of G based on C∪C−1. Our main result shows that in any such graph, there is an involution at bounded distance from the identity.
Date Issued
2024-09-01
Date Acceptance
2024-03-01
Citation
Communications in Algebra, 2024, 52 (9), pp.3750-3761
ISSN
0092-7872
Publisher
Taylor and Francis Group
Start Page
3750
End Page
3761
Journal / Book Title
Communications in Algebra
Volume
52
Issue
9
Copyright Statement
© 2024 The Author(s). Published with license by Taylor & Francis Group, LLC
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The terms on which this article has been published allow the posting of the Accepted Manuscript in a repository by the author(s) or with their consent.
License URL
Identifier
https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2328803?src=
Publication Status
Published online
Date Publish Online
2024-03-20