Some problems about products of conjugacy classes in finite groups

نویسندگان
Meng, Hangyang ID 1
Ballester Bolinches, Adolfo ID 2
Esteban-Romero, Ramón ID 3
Jiménez-Seral, Paz ID 4

1 Departament de Matematiques‎, ‎Universitat de Valencia‎, ‎Spain

2 Departament de Matematiques‎, ‎Universitat de Valencia‎, ‎Spain

3 Departament de Matematiques‎, ‎Universitat de Valencia‎, ‎Spain

4 Departamento de Matematicas‎, ‎Universidad de Zaragoza‎, ‎Pedro Cerbuna‎, Spain

doi
10.22108/ijgt.2019.111448.1480
چکیده

‎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.

کلیدواژه‌ها
‎Conjugacy classes‎, ‎characters‎, ‎products of conjugacy classes‎, ‎solvability