For a finite group G denote by γ(L(G)) the genus of the subgroup graph of G. We prove that γ(L(G)) tends to infinity as either the rank of G or the number of prime divisors of |G| tends to infinity.
The genus of the subgroup graph of a finite group
Lucchini A.
2021
Abstract
For a finite group G denote by γ(L(G)) the genus of the subgroup graph of G. We prove that γ(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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