6533b7defe1ef96bd1275e25

RESEARCH PRODUCT

On a class of supersoluble groups

Ramon Esteban-romeroM. F. RaglandAdolfo Ballester-bolinchesJames C. Beidleman

subject

Class (set theory)Finite groupGeneral MathematicsSylow theoremsGrups Teoria deAlgebraCombinatoricsBT-groupMS-groupÀlgebraAlgebra over a fieldFinite groupMATEMATICA APLICADASoluble PST-groupT0-groupMathematics

description

A subgroup H of a finite group G is said to be S-semipermutable in G if H permutes with every Sylow q-subgroup of G for all primes q not dividing |H|. A finite group G is an MS-group if the maximal subgroups of all the Sylow subgroups of G are S-semipermutable in G. The aim of the present paper is to characterise the finite MS-groups.

10.1017/s0004972714000306http://hdl.handle.net/10550/48172