Centralisers of finite groups in locally finite simple groups
| Autor: | Benson, David J. |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We answer in the negative a question of Hartley about representations of finite groups, by constructing examples of finite simple groups with arbitrarily large representations whose endomorphism ring consists of just the scalars. We show as a consequence that there are finite simple groups of automorphisms of the locally finite simple group $SL(\infty,\mathbb{F}_q)$ with trivial centraliser. The smallest of our examples is $A_6$ with $q=9$. Comment: 10 pages |
| Databáze: | arXiv |
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