A NOTE ON THE p-NILPOTENCY OF A FINITE GROUP

Authors : Changwen Lİ

Pages : 12-19

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Publication Date : 2012-06-01

Article Type : Research Paper

Abstract :Suppose that G is a finite group and H is a subgroup of G. H is said to be s-quasinormally embedded in G if for each prime p dividing |H|, a Sylow p-subgroup of H is also a Sylow p-subgroup of some s-quasinormal subgroup of G; H is called weakly s-supplemented in G if there is a subgroup T of G such that G = HT and H ∩ T ≤ HsG, where HsG is the subgroup of H generated by all those subgroups of H which are s-quasinormal in G. We investigate the influence of s-quasinormally embedded and weakly s-supplemented subgroups on the p-nilpotency of a finite group.
Keywords : s quasinormally embedded, weakly s supplemented, p nilpotent, 2 maximal subgroup