Powers of conjugacy classes in a finite group
Group Theory
2024-02-13 v1
Abstract
Many results have been established that show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper is to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group.
Keywords
Cite
@article{arxiv.2402.06703,
title = {Powers of conjugacy classes in a finite group},
author = {Antonio Beltrán and Rachel Deborah Camina and María José Felipe and Carmen Melchor},
journal= {arXiv preprint arXiv:2402.06703},
year = {2024}
}