NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS

Authors : Shitian LİU

Pages : 120-127

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Publication Date : 2010-06-01

Article Type : Research Paper

Abstract :A subgroup H is X-g pronormal in G if, for H, X ≤ G and g ∈ G, H ∩ X and Hg ∩ X are conjugate in J = hH ∩ X, Hg ∩ Xi. In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups are X-g pronormal, where X = Finsert ignore into journalissuearticles values(G); is the Fitting subgroup of G.
Keywords : F G, g pronormal subgroups, Sylow p subgroup, maximal subgroups, p nilpotence