A characterization of C 2 ( q ) where q > 5
نویسندگان
چکیده
The order of every finite group G can be expressed as a product of coprime positive integers m1, . . . ,mt such that π(mi) is a connected component of the prime graph of G. The integers m1, . . . ,mt are called the order components of G. Some nonabelian simple groups are known to be uniquely determined by their order components. As the main result of this paper, we show that the projective symplectic groups C2(q) where q > 5 are also uniquely determined by their order components. As corollaries of this result, the validities of a conjecture by J.G. Thompson and a conjecture by W. Shi and J. Be for C2(q) with q > 5 are obtained.
منابع مشابه
Characterization of $G_2(q)$, where $2 < q equiv 1(mod 3)$ by order components
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