Subnormalisers of semisimple elements in finite groups of Lie type
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908683518083072 |
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| author | Malle, Gunter |
| author_facet | Malle, Gunter |
| contents | We determine subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. For this, we determine the maximal overgroups of normalisers of Sylow tori. This is motivated by the recent character correspondence conjecture by Moretó and Rizo as well as by the question of existence of quasi-semiregular elements in finite permutation groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Subnormalisers of semisimple elements in finite groups of Lie type Malle, Gunter Group Theory Representation Theory 20D06, 20D20, 20D35, 20E25, 20G40 We determine subnormalisers of semisimple elements of prime power order in finite quasi-simple groups of Lie type. For this, we determine the maximal overgroups of normalisers of Sylow tori. This is motivated by the recent character correspondence conjecture by Moretó and Rizo as well as by the question of existence of quasi-semiregular elements in finite permutation groups. |
| title | Subnormalisers of semisimple elements in finite groups of Lie type |
| topic | Group Theory Representation Theory 20D06, 20D20, 20D35, 20E25, 20G40 |
| url | https://arxiv.org/abs/2511.01557 |