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arXiv · 2001.11791

The genus of the subgroup graph of a finite group

Andrea Lucchini
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Abstract

For a finite group $G$ denote by $\gamma(L(G))$ the genus of the subgroup graph of $G.$ We prove that $\gamma(L(G))$ tends to infinity as either the rank of $G$ or the number of prime divisors of $|G|$ tends to infinity.

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Andrea Lucchini. 2020-01-31. The genus of the subgroup graph of a finite group. https://arxiv.org/abs/2001.11791

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