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RESEARCH PRODUCT

A Local Approach to Certain Classes of Finite Groups

Hermann HeinekenJames C. BeidlemanAdolfo Ballester-bolinches

subject

CombinatoricsMathematics::Group TheoryFinite groupTransitive relationMathematics::CombinatoricsAlgebra and Number TheoryLocally finite groupSylow theoremsComponent (group theory)Classification of finite simple groupsCA-groupFrobenius groupMathematics

description

Abstract We develop several local approaches for the three classes of finite groups: T-groups (normality is a transitive relation) and PT-groups (permutability is a transitive relation) and PST-groups (S-permutability is a transitive relation). Here a subgroup of a finite group G is S-permutable if it permutes with all the Sylow subgroup of G.

yearjournalcountryeditionlanguage
2003-01-12Communications in Algebra
https://doi.org/10.1081/agb-120024860