Products of groups and class sizes of pi-elements

[EN] We provide structural criteria for some finite factorised groups G = AB when the conjugacy class sizes in G of certain pi-elements in A boolean OR B are either pi-numbers or pi'-numbers, for a set of primes pi. In particular, we extend for products of groups some earlier results

Detalles Bibliográficos
Autores: Felipe Román, María Josefa|||0000-0002-6699-3135, Martínez-Pastor, Ana|||0000-0002-0208-4098, Sotomayor, Víctor|||0000-0001-8649-5742
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:10251/176409
Acceso en línea:https://riunet.upv.es/handle/10251/176409
Access Level:acceso abierto
Palabra clave:Finite groups
Products of groups
Conjugacy classes
Pi-structure
MATEMATICA APLICADA
Descripción
Sumario:[EN] We provide structural criteria for some finite factorised groups G = AB when the conjugacy class sizes in G of certain pi-elements in A boolean OR B are either pi-numbers or pi'-numbers, for a set of primes pi. In particular, we extend for products of groups some earlier results