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October 19, 2026Communications in Algebra

Finite p -groups all of whose non-abelian subgroups with cyclic derived subgroups are metacyclic

Ziyu Dong Qiangwei Song

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Abstract

In this paper, finite p-groups all of whose metabelian subgroups are metacyclic are completely classified. Furthermore, we study finite p-groups having the property that non-abelian subgroups with cyclic derived subgroups are metacyclic. Such groups are classified completely up to isomorphism.

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Cite This Study

Dong et al. (2026) studied this question.

synapsesocial.com/papers/6ad9a708361370fd88dbb726 https://doi.org/10.1080/00927872.2026.2744889

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