Tang Xiao-chun
Abstract
A subgroup H of a finite group G is said to be weakly c-normal in G if there exist a subnormal subgroup K of G such that and,where is the largest normal subgroup of G which is contained in H.In this paper,the authers give some sufficient conditions for a finite group to be solvable.;
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A subgroup H of a finite group G is said to be weakly c-normal in G if there exist a subnormal subgroup K of G such that and,where is the largest normal subgroup of G which is contained in H.In this paper,the authers give some sufficient conditions for a finite group to be solvable.;
Key concepts: Mathematics, Group (periodic table), Subgroup, Index of a subgroup, Normal subgroup, Finite group, Fitting subgroup, Combinatorics