Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups

In this paper, we count the number of conjugacy and automorphism-conjugacy classes of elements of a ZM-group. The size of a conjugacy class with respect to these two equivalence relations is also counted.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-11-20
DOI
https://doi.org/10.1142/s179355712550144x
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
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article

Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups

Marius Tărnăuceanu
Asian-European Journal of Mathematics
Finite Group Theory Research
article

Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups

Marius Tărnăuceanu
article en

Abstract

In this paper, we count the number of conjugacy and automorphism-conjugacy classes of elements of a ZM-group. The size of a conjugacy class with respect to these two equivalence relations is also counted.

Asian-European Journal of Mathematics
Alexandru Ioan Cuza University (RO)
Openalex Percentile: Top 57%
Finite Group Theory Research
DOISourceOpenAlex
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Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups — Marius Tărnăuceanu · Asian-European Journal of Mathematics (2025) | TGRS Research Map | TGRS