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<p>In this note we provide explicit expressions for the number of edges of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L(G)^*\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <msup> <mrow> <mo stretchy="false">(</mo> <mi>G</mi> <mo stretchy="false">)</mo> </mrow> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(C(G)^*\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>C</mi> <msup> <mrow> <mo stretchy="false">(</mo> <mi>G</mi> <mo stretchy="false">)</mo> </mrow> <mo>∗</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> for finite abelian <i>p</i>-groups of rank at most three and for elementary abelian <i>p</i>-groups.</p>

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On subgroup graphs of finite abelian groups

  • 期刊论文

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  • 发表日期：

    2026年7月16日

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  • Georgiana Fasolă

摘要

In this note we provide explicit expressions for the number of edges of \(L(G)^*\) L ( G ) ∗ and \(C(G)^*\) C ( G ) ∗ for finite abelian p-groups of rank at most three and for elementary abelian p-groups.