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arXiv · 2508.09706

Finite groups with few conjugate classes of minimal non-abelian subgroups

Haipeng Qu·Junqiang Zhang
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Abstract

Let $G$ be a finite non-abelian group and $\kappa_1(G)$ the number of conjugate classes of minimal non-abelian subgroups of $G$. The structure of $G$ with $\kappa_1(G)=1$ is determined. In the case of $G$ being the $p$-groups, the structure of $G$ with $\kappa_1(G)\leqslant p$ is also determined.

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Haipeng Qu, Junqiang Zhang. 2025-08-13. Finite groups with few conjugate classes of minimal non-abelian subgroups. https://arxiv.org/abs/2508.09706

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