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<p>In this paper, we determine the finite <i>p</i>-groups such that the number of nonabelian subgroups of possible order is at most <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41980_2024_954_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(p^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>p</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>.</p>

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Finite p-Groups with Few Nonabelian Subgroups of Possible Orders

  • 期刊论文

  • 发表日期：

    2025年2月27日

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  • Xiaoli Mi,
  • Junqiang Zhang

摘要

In this paper, we determine the finite p-groups such that the number of nonabelian subgroups of possible order is at most \(p^2\) p 2 .