FINITE GROUPS WITH A SYSTEM OF NILPOTENT SUBGROUPS CONTAINING THE SYLOW SUBGROUP By
نویسنده
چکیده
Let G be a finite group and p an odd prime. By M < G we denote that M is a proper subgroup of G. Put the set Ψ p (G) = {M:M < G, |G : M| 6= a prime power and |G : M|p = 1}. In this paper we investigate the structure of G if every member of Ψ p (G) is nilpotent.
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