English

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

Group Theory 2022-03-16 v1

Abstract

Finite pp-groups with a unique A2\mathcal{A}_2-subgroup are classified up to isomorphism. A problem proposed by Berkovich and Janko is solved.

Keywords

Cite

@article{arxiv.2203.07592,
  title  = {A classification of finite $p$-groups with a unique $\mathcal{A}_2$-subgroup},
  author = {Jixia Gao and Dandan Zhang and Haipeng Qu},
  journal= {arXiv preprint arXiv:2203.07592},
  year   = {2022}
}
R2 v1 2026-06-24T10:13:21.807Z