Finite groups contain large centralizers
Every finite non-abelian group of order n has a non-central element whose centralizer has order exceeding n^{1/3}. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/98559 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/98559 |
| Access Level: | acceso abierto |
| Palabra clave: | Álgebra 1201.06 Grupos, Generalidades |
| Sumario: | Every finite non-abelian group of order n has a non-central element whose centralizer has order exceeding n^{1/3}. The proof does not rely on the classification of finite simple groups, yet it uses the Feit-Thompson theorem. |
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