Determining hypercentral Hall subgroups in finite groups
[EN] Let G be a finite group, and let ¿ be a set of primes. The aim of this paper is to obtain some results concerning how much information about the ¿-structure of G can be gathered from the knowledge of the sizes of conjugacy classes of its ¿-elements and of their multiplicities. Among other resul...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/208330 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/208330 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite groups Conjugacy classes Hypercentral subgroups Hall subgroups MATEMATICA APLICADA |
| Sumario: | [EN] Let G be a finite group, and let ¿ be a set of primes. The aim of this paper is to obtain some results concerning how much information about the ¿-structure of G can be gathered from the knowledge of the sizes of conjugacy classes of its ¿-elements and of their multiplicities. Among other results, we prove that this multiset of class sizes determines whether G has a hypercentral Hall ¿-subgroup. |
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