The genus of the subgroup graph of a finite group
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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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2021-04-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | http://www.worldscientific.com/doi/epdf/10.1142/S1664360720500101 |