quasirecognition by prime graph of finite simple groups ${}^2d_n(3)$
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let $g$ be a finite group. in [ghasemabadi et al., characterizations of the simple group ${}^2d_n(3)$ by prime graph and spectrum, monatsh math., 2011] it is proved that if $n$ is odd, then ${}^2d _n(3)$ is recognizable by prime graph and also by element orders. in this paper we prove that if $n$ is even, then $d={}^2d_{n}(3)$ is quasirecognizable by prime graph, i.e. every finite group $g$ with $gamma(g)= gamma(d)$ has a unique nonabelian composition factor and this factor is isomorphic to $d$.
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Journal title:
international journal of group theoryPublisher: university of isfahan
ISSN 2251-7650
volume 3
issue 4 2014
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