A question from the Kourovka Notebook on formation products
[EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated formations if H = G. It answers some open questions on products of formation...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/19031 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/19031 |
| Access Level: | acceso abierto |
| Palavra-chave: | Finite group X-local formation Saturated formation X-saturated formation Composition formation Omega-saturated formation MATEMATICA APLICADA |
| Resumo: | [EN] It is shown in this paper that if X is a class of simple groups such that pi(X) = char X, the X-saturated formation H generated by a finite group cannot be expressed as the Gaschütz product F o G of two non-X-saturated formations if H = G. It answers some open questions on products of formations. The relation between omega-saturated and X-saturated formations is also discussed. |
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