2-quasirecognizability of the simple groups B_n(p) and C_n(p) by prime graph

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چکیده مقاله:

Let G be a finite group and let $GK(G)$ be the prime graph of G. We assume that $n$ is an odd number. In this paper, we show that if $GK(G)=GK(B_n(p))$, where $ngeq 9$ and $pin {3,5,7}$, then G has a unique nonabelian composition factor isomorphic to $B_n(p)$ or $C_n(p)$ . As consequences of our result, $B_n(p)$ is quasirecognizable by its spectrum and also by a new proof, the validity of a conjecture of W. J. Shi for $B_n(p)$ is obtained.

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2-quasirecognizability of the simple groups b_n(p) and c_n(p) by prime graph

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عنوان ژورنال

دوره 38  شماره 3

صفحات  647- 668

تاریخ انتشار 2012-09-15

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