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

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arxiv 2203.07592 v1 pith:Q4JC2KR7 submitted 2022-03-15 math.GR

Jixia Gao , Dandan Zhang , Haipeng Qu This is my paper

classification math.GR

keywords finitegroupsmathcalsubgroupuniqueberkovichclassificationclassified

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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.