On products of groups and indices not divisible by a given prime
[EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR B if and only if G is p-decomposable, i.e. G = Op(G) x Op '(G)
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:10251/176990 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/176990 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite groups Products of groups Conjugacy classes P-structure Prime graph Almost simple groups MATEMATICA APLICADA |
| Sumario: | [EN] Let the group G = AB be the product of subgroupsAandB, and letpbe a prime. We prove thatpdoes not divide the conjugacy class size (index) of eachp-regular element of prime power order x is an element of A boolean OR B if and only if G is p-decomposable, i.e. G = Op(G) x Op '(G) |
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