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July 2, 2026Communications in Algebra

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

Jixia Gao Haipeng Qu

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Key Points

The aim is to classify finite p-groups that have exactly two A2-subgroups according to their isomorphic characteristics.
Classified finite p-groups based on the structure of their A2-subgroups.
Applied group theory techniques to determine isomorphism among classified groups.
Identified a complete classification of finite p-groups with exactly two A2-subgroups.
Provided solutions to problems proposed by Berkovich and Janko.

Implication

Classification identifies finite p-groups with two A2-subgroups, solving a problem in group theory.

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.

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Cite This Study

Gao et al. (2026) studied this question.

synapsesocial.com/papers/6a48a5c889561a0c2d78e34b https://doi.org/10.1080/00927872.2026.2689150

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