- International Electronic Journal of Algebra
- Vol: 7 Issue: 7
- NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS
NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS
Authors : Shitian Liu
Pages : 120-127
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Publication Date : 2010-06-01
Article Type : Other
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 = F(G) is the Fitting subgroup of G.Keywords : F(G)-g pronormal subgroups, Sylow p-subgroup, maximal subgroups, p-nilpotence