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2010•Journal of Jiamusi UniversityRequires access

Some Sufficient Conditions about the p-Supersoluble Property of Group

Hua Ding

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Abstract

A subgroup H of a finite group G is said to be conditionally permutable in G if for every subgroup K of G there exists an element x∈G such that HKx=KxH.In this paper,we study the maximal subgroups of some special subgroups of G by its conditionally permutable properties and some sufficient conditions are obtained about p-supersoluble group.

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A subgroup H of a finite group G is said to be conditionally permutable in G if for every subgroup K of G there exists an element x∈G such that HKx=KxH.In this paper,we study the maximal subgroups of some special subgroups of G by its conditionally permutable properties and some sufficient conditions are obtained about p-supersoluble group.

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Available abstract

A subgroup H of a finite group G is said to be conditionally permutable in G if for every subgroup K of G there exists an element x∈G such that HKx=KxH.In this paper,we study the maximal subgroups of some special subgroups of G by its conditionally permutable properties and some sufficient conditions are obtained about p-supersoluble group.

Key concepts: Permutable prime, Mathematics, Group (periodic table), Property (philosophy), Combinatorics, Element (criminal law), Discrete mathematics, Physics

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