1. Representations of extensions of simple groups
- Author
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Harper, Scott and Liebeck, Martin W.
- Subjects
Mathematics - Group Theory ,Mathematics - Representation Theory - 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., Comment: 8 pages
- Published
- 2024