Conjugacy class numbers and $p$-supersolvability of finite groups

Shuqin Dong                <meta name=

2025/107/1-2 (15) — DOI: 10.5486/PMD.2025.10243 — pp. 255-261

Conjugacy class numbers and $p$-supersolvability of finite groups

Authors: Shuqin Dong, Hongfei Pan and Huaquan Wei

Abstract:

Let $k(G)$ be the number of conjugacy classes of a finite group $G$. In this paper, we prove that $G$ is $p$-supersolvable if $|G|/k(G)$ is less than $9p^2/(p^2 +8)$.

Keywords: conjugacy classes, $p$-supersolvable

Mathematics Subject Classification: 20E45