%0 Journal Article
%T Weakly C*-Normal Subgroups and p-Nilpotency of Finite Groups
%A Shitian Liu
%J Asian Journal of Algebra
%D 2009
%I 
%X A subgroup H is called to be weakly c*-normal in G if there exists a subnormal subgroup K such that G = HK and H¡É K is s-quasi normal embedded in G.The following result is established: Let G be a group such that G is S4-free. Also let p be the smallest prime dividing the order of G and P a Sylow p-subgroup of G. If every minimal subgroup of P of order p or 4 (when p = 2) is weakly c*-normal in NG(P) and when p = 2 P is quaternion-free, then G is p-nilpotent.The main result is established and a generalization of some authors¡¯.
%K Sylow p-subgroups
%K weakly c*-normal subgroups p-nilpotent
%K minimal subgroup
%U http://docsdrive.com/pdfs/ansinet/aja/2009/17-21.pdf