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arXiv · 2402.06703

Powers of conjugacy classes in a finite group

Antonio Beltrán·Rachel Deborah Camina·María José Felipe·Carmen Melchor
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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.

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Antonio Beltrán, Rachel Deborah Camina, María José Felipe, Carmen Melchor. 2024-02-09. Powers of conjugacy classes in a finite group. https://arxiv.org/abs/2402.06703

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