A classification of finite <i>p</i> -groups with exactly two <i>A</i> <sub>2</sub> -subgroups

In this paper, finite p-groups with exactly two A2-subgroups are classified up to isomorphism. This solves a problem proposed by Berkovich and Janko.

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Publication Details

Journal
Communications in Algebra
Published
2026-07-02
DOI
https://doi.org/10.1080/00927872.2026.2689150
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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article

A classification of finite p -groups with exactly two A 2 -subgroups

Jixia Gao, Haipeng Qu
Communications in Algebra
Finite Group Theory Research
article

A classification of finite p -groups with exactly two A 2 -subgroups

Jixia Gao, Haipeng Qu
article en

Abstract

In this paper, finite p-groups with exactly two A2-subgroups are classified up to isomorphism. This solves a problem proposed by Berkovich and Janko.

Communications in Algebra
Shanxi Normal University (CN), Lanzhou University of Finance and Economics (CN), Luoyang Institute of Science and Technology (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 3%
Finite Group Theory Research
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