A characterisation of simple groups PSL (5, q)

A Iranmanesh, SH Alavi - Bulletin of the Australian Mathematical …, 2002 - cambridge.org
Bulletin of the Australian Mathematical Society, 2002cambridge.org
… Order components of a finite group are introduced in [4]. We prove that, for every q, PSL(5,q)
can be uniquely determined by its order components. A main consequence of our result is
the validity of Thompson's conjecture for the … If n is an integer, 7r(n) is the set of prime
divisors of n and if G is a finite group 7r(G) is denned to be 7r(|G|). The prime graph Y(G) of a …
Order components of a finite group are introduced in [4]. We prove that, for every q, PSL (5,q) can be uniquely determined by its order componets. A main consequence of our result is the validity of Thompson's conjecture for the groups under consideration.
Cambridge University Press
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