The conjugacy classes and commuting degree of the $p$-groups with a cyclic subgroup of index $p^2$

Authors

  • Mohammad Naghshinehfard

DOI:

https://doi.org/10.1285/i15900932v45n1p95

Keywords:

Commuting degree, conjugacy class, p-group

Abstract

We compute the number of conjugacy classes in $p$-groups of order $p^n$ and exponent $p^{n-2}$ classified by Ninomiya in $1994$. This enables us to obtain the commuting degrees of these groups.

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Published

08-09-2025

Issue

Volume 45, issue 1 (2025)

Section

Articoli

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode