Geodesic
Recognizability of finite groups by Suzuki group
Archivum mathematicum, Tome 55 (2019) no. 4, pp. 225-228.

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Let $G$ be a finite group. The main supergraph $\mathcal{S}(G)$ is a graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $o(x) \mid o(y)$ or $o(y)\mid o(x)$. In this paper, we will show that $G\cong Sz(q)$ if and only if $\mathcal{S}(G)\cong \mathcal{S}(Sz(q))$, where $q=2^{2m+1}\ge 8$.
DOI : 10.5817/AM2019-4-225
Classification : 05C25, 20D08
Keywords: main supergraph; Suzuki group 
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Asboei, Alireza Khalili; Amiri, Seyed Sadegh Salehi. Recognizability of finite groups by Suzuki group. Archivum mathematicum, Tome 55 (2019) no. 4, pp. 225-228. doi : 10.5817/AM2019-4-225. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-225/

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