Representations of extensions of simple groups
File(s)
Published version
Author(s)
Harper, Scott
Liebeck, Martin W
Type
Journal Article
Abstract
Feit and Tits (1978) proved that a nontrivial projective representation of minimal dimension of a finite extension of a finite nonabelian simple group G factors through a projective representation of G, except for some groups of Lie type in characteristic 2; the exact exceptions for G were determined by Kleidman and Liebeck (1989). We generalise this result in two ways. First we consider all low-dimensional projective representations, not just those of minimal dimension. Second we consider all characteristically simple groups, not just simple groups.
Date Issued
2025-04-01
Date Acceptance
2025-01-21
Citation
Archiv der Mathematik, 2025, 124 (4), pp.365-375
ISSN
0003-889X
Publisher
Springer Science and Business Media LLC
Start Page
365
End Page
375
Journal / Book Title
Archiv der Mathematik
Volume
124
Issue
4
Copyright Statement
© 2025 The Author(s) Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/40092152
PII: 2105
Subjects
Extensions
Projective representation
Simple group
Publication Status
Published
Coverage Spatial
Switzerland
Date Publish Online
2025-03-08