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<p>Finite <i>p</i>-groups with a unique <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40304_2024_420_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal {A}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">A</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-subgroup are classified up to isomorphism. This solves a problem proposed by Berkovich and Janko.</p>

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A Classification of Finite p-Groups with a Unique \(\mathcal {A}_2\)-Subgroup

  • 期刊论文

  • 发表日期：

    2025年3月6日

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  • Jixia Gao,
  • Haipeng Qu

摘要

Finite p-groups with a unique \(\mathcal {A}_2\) A 2 -subgroup are classified up to isomorphism. This solves a problem proposed by Berkovich and Janko.