quasirecognition by prime graph of finite simple groups ${}^2d_n(3)$

نویسندگان

behrooz khosravi

hossein moradi

چکیده

‎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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عنوان ژورنال:
international journal of group theory

ناشر: university of isfahan

ISSN 2251-7650

دوره 3

شماره 4 2014

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