Some problems about products of conjugacy classes in finite groups

[EN] We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect some problems that have only been partially solved.

Detalhes bibliográficos
Autores: Beltran, Antonio, Melchor, Carmen, Felipe Román, María Josefa|||0000-0002-6699-3135
Formato: artículo
Fecha de publicación:2020
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:10251/167325
Acesso em linha:https://riunet.upv.es/handle/10251/167325
Access Level:acceso abierto
Palavra-chave:Conjugacy classes
Characters
Products of conjugacy classes
Solvability
MATEMATICA APLICADA
Descrição
Resumo:[EN] We summarize several results about non-simplicity, solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes. We also collect some problems that have only been partially solved.