Zhao‐Feng Qiu
Abstract
A subgroup H of a finite group G is said to be weakly quasi-c-normal in G if there exists a sub-normal subgroup K of G such that KH is a subgroup of G and |G∶KH| is a prime power.In this paper,the author gives 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 quasi-c-normal in G if there exists a sub-normal subgroup K of G such that KH is a subgroup of G and |G∶KH| is a prime power.In this paper,the author gives some sufficient conditions for a finite group to be solvable.
Key concepts: Mathematics, Normal subgroup, Index of a subgroup, Fitting subgroup, Finite group, Combinatorics, Subgroup, Group (periodic table)