Some Conditions About the Solvability of Finite Group
Zheng Zhi-jing
Abstract
Zheng Zhi-jing
Abstract
A subgroup H of a finite group G is said to be weakly C-normal in G if there a sub-normal subgroup K of G is existed such that and,where is the largest normal subgroup of G which is contained in H. Some sufficient conditions are given 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 a sub-normal subgroup K of G is existed such that and,where is the largest normal subgroup of G which is contained in H. Some sufficient conditions are given for a finite group to be solvable.
Key concepts: Normal subgroup, Mathematics, Fitting subgroup, Index of a subgroup, Group (periodic table), Subgroup, Finite group, Combinatorics