Some problems about products of conjugacy classes in finite groups

Document Type: Ischia Group Theory 2018

Authors

1 Departamento de Matematicas, Universidad Jaume I, 12071, Castellon, Spain

2 Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, 46022, Valencia, Spain

Abstract

‎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.

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