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arXiv · 2412.18087

Finite groups whose subgroup graph contains a vertex of large degree

Marius Tărnăuceanu
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Abstract

T.C. Burness and S.D. Scott \cite{3} classified finite groups $G$ such that the number of prime order subgroups of $G$ is greater than $|G|/2-1$. In this note, we study finite groups $G$ whose subgroup graph contains a vertex of degree greater than $|G|/2-1$. The classification given for finite solvable groups extends the work of Burness and Scott.

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Marius Tărnăuceanu. 2024-12-24. Finite groups whose subgroup graph contains a vertex of large degree. https://arxiv.org/abs/2412.18087

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