Representations of extensions of simple groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929360886300672 |
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| author | Harper, Scott Liebeck, Martin W. |
| author_facet | Harper, Scott Liebeck, Martin W. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Representations of extensions of simple groups Harper, Scott Liebeck, Martin W. Group Theory Representation Theory 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. |
| title | Representations of extensions of simple groups |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2405.17593 |