Powers of conjugacy classes in a finite group

2024/02/09 by Antonio Beltrán, Rachel D. Camina, Beltrán, Antonio +5 · 2 citations
Mathematics · #FOS: Mathematics #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2402.06703

openalex publication_date 2024/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Cosets of normal subgroups and union of two conjugacy classes
• Expansion of normal subsets of odd-order elements in finite groups

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