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arXiv · 2607.05700

A note on finite groups with few conjugacy classes of subgroups

Marius Tărnăuceanu
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Abstract

In this note, we give some conditions of solvability of a finite group $G$ based on its number of conjugacy classes of subgroups $Con(G)$. We classify all finite groups $G$ with $Con(G)\leq 5$. A new characterization of $A_5$ is also given.

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Marius Tărnăuceanu. 2026-07-06. A note on finite groups with few conjugacy classes of subgroups. https://arxiv.org/abs/2607.05700

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