p-divisibility of conjugacy class sizes and normal p-complements
. Let N be a normal subgroup of a group G and let p be a prime. We prove that if the p-part of jx Gj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| 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:10251/64392 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/64392 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite groups Conjugacy class sizes Normal subgroups Prime-power order elements MATEMATICA APLICADA |
| Sumario: | . Let N be a normal subgroup of a group G and let p be a prime. We prove that if the p-part of jx Gj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement. |
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