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.

Keywords

Main Subjects


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Volume 9, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory 2018
March 2020
Pages 59-68
  • Receive Date: 06 June 2018
  • Revise Date: 27 February 2019
  • Accept Date: 07 March 2019
  • Published Online: 01 March 2020