A classification of finite $p$-groups with a unique $\mathcal{A}_2$-subgroup

Jixia Gao; Dandan Zhang; Haipeng Qu

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arXiv · 2203.07592

A classification of finite $p$-groups with a unique $\mathcal{A}_2$-subgroup

Jixia Gao·Dandan Zhang·Haipeng Qu

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Abstract

Finite $p$-groups with a unique $\mathcal{A}_2$-subgroup are classified up to isomorphism. A problem proposed by Berkovich and Janko is solved.

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Jixia Gao, Dandan Zhang, Haipeng Qu. 2022-03-15. A classification of finite $p$-groups with a unique $\mathcal{A}_2$-subgroup. https://arxiv.org/abs/2203.07592

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