Finite groups with exponent p and all of whose non-abelian subgroups of order $p^4$ are isomorphic

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2025年4月18日

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Jixia Gao,
Qiangwei Song

摘要

In this paper, finite groups with exponent p and all of whose non-abelian sections of order $p^4$ $p^{4}$ are isomorphic are classified completely. Additionally, we study finite groups with exponent p and all of whose non-abelian subgroups of order $p^4$ $p^{4}$ are isomorphic. We give some properties of such groups and show that the class of such groups is rather large.

Finite groups with exponent p and all of whose non-abelian subgroups of order \(p^4\) are isomorphic

摘要