Some problems about products of conjugacy classes in finite groups

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_THEGR-9-1_007

تاریخ نمایه سازی: 14 اردیبهشت 1400

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:

‎Conjugacy classes‎ , ‎characters‎ , ‎products of conjugacy classes‎ , ‎solvability

Authors

Antonio Beltrán

Departamento de Matematicas, Universidad Jaume I, ۱۲۰۷۱, Castellon, Spain

María José Felipe

Instituto Universitario de Matematica Pura y Aplicada, Universitat Politecnica de Valencia, ۴۶۰۲۲, Valencia, Spain

Carmen Melchor

Departamento de Matematicas, Universidad Jaume I, ۱۲۰۷۱, Castellon, Spain