Conditional permutability of subgroups and certain classes of groups

[EN] Two subgroups A and B of a finite group G are said to be tcc-permutable if X permutes with Y for some g epsilon (X, Y), for all X <= A and all Y <= B. Some aspects about the normal structure of a product of two tcc-permutable subgroups are analyzed. The obtained results allow to s...

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Detalles Bibliográficos
Autores: Arroyo Jordá, Milagros|||0000-0003-4278-909X, Arroyo Jordá, Paz|||0000-0002-4828-2452
Tipo de recurso: artículo
Fecha de publicación:2017
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:10251/141529
Acceso en línea:https://riunet.upv.es/handle/10251/141529
Access Level:acceso abierto
Palabra clave:Finite groups
Products of subgroups
Conditional permutability
Classes of groups
MATEMATICA APLICADA
Descripción
Sumario:[EN] Two subgroups A and B of a finite group G are said to be tcc-permutable if X permutes with Y for some g epsilon (X, Y), for all X <= A and all Y <= B. Some aspects about the normal structure of a product of two tcc-permutable subgroups are analyzed. The obtained results allow to study the behaviour of such products in relation with certain classes of groups, namely the class of T-groups and some generalizations.