A characterisation of simple groups PSL (5,q)

Publisher： Cambridge University Press

E-ISSN： 1755-1633|65|2|211-222

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.65, Iss.2, 2002-04, pp. : 211-222

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Abstract

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.

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