# Article

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Keywords:
prime graph; simple group; recognition; quasirecognition
Summary:
Let \$G\$ be a finite group. The prime graph of \$G\$ is a graph whose vertex set is the set of prime divisors of \$|G|\$ and two distinct primes \$p\$ and \$q\$ are joined by an edge, whenever \$G\$ contains an element of order \$pq\$. The prime graph of \$G\$ is denoted by \$\Gamma (G)\$. It is proved that some finite groups are uniquely determined by their prime graph. In this paper, we show that if \$G\$ is a finite group such that \$\Gamma (G)=\Gamma (B_{n}(5))\$, where \$n\geq 6\$, then \$G\$ has a unique nonabelian composition factor isomorphic to \$B_{n}(5)\$ or \$C_{n}(5)\$.
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