On a class of supersoluble groups

Authors

  • A. Ballester-Bolinches Universtat de València, Departament d'Àlgebra C/Dr. Moliner, 50 46100-Burjassot (València), Spain
  • J. C. Beidleman
  • R. Esteban-Romero
  • M. F. Ragland

Keywords:

finite group, soluble PST-group, T$_0$-group, MS-group, BT-group.

Abstract

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 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. DOI: 10.1017/S0004972714000306

Published

2014-08-03

Issue

Vol. 90 No. 2 (2014)

Section

Articles
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