Work

Every group is the automorphism group of a graph with arbitrarily large genus

Year: 2025
Type: preprint
Abstract: We prove that, to every abstract group $G$, we can associate a sequence of graphs $Γ_n$ such that the automorphism group of $Γ_n$ is isomorphic to $G$ and the genus of $Γ_n$ is an unbounded function of $n$.
Language: English
Open Access status: green
OpenAlex ID: W4406484014
Cites:
Cited by:
Related to: 10