Paper “On a class of supersoluble groups” accepted for publication in Bull. Aust. Math. Soc.

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A. Ballester-Bolinches, J. C. Beidleman, R. Esteban-Romero, M. F. Ragland

On a class of supersoluble groups

Bull. Aust. Math. Soc., in press

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Abstract: A subgroup H of a finite group G is said to be S-permutable 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.
2010 Mathematics subject classification: 20D10, 20D15, 20D20

Keywords: Finite group, soluble PST-group, T_0-group, MS-group, BT-group.