ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS-Reference-Cited by-同舟云学术

ON A PERMUTABILITY PROPERTY OF SUBGROUPS OF FINITE SOLUBLE GROUPS

Published:2010-04 Issue:02 Volume:12 Page:207-221
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

BALLESTER-BOLINCHES A.¹,COSSEY JOHN²,SOLER-ESCRIVÀ X.³

Affiliation:

1. Departament d'Àlgebra, Universitat de València, C/Doctor Moliner, 50. 46100 Burjassot (Valéncia), Spain

2. Department of Mathematics, MSI, Australian National University, Canberra ACT 0200, Australia

3. Departament de Matemàtica Aplicada, Universitat d'Alacant, Ap. Correus 99 – 03080 Alacant, Spain

Abstract

The structure and embedding of subgroups permuting with the system normalizers of a finite soluble group are studied in the paper. It is also proved that the class of all finite soluble groups in which every subnormal subgroup permutes with the Sylow subgroups is properly contained in the class of all soluble groups whose subnormal subgroups permute with the system normalizers while this latter is properly contained in the class of all supersoluble groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199710003798

Reference15 articles.

1. Finite groups whose subnormal subgroups permute with all Sylow subgroups

2. Finite Soluble Groups with Permutable Subnormal Subgroups

3. Mathematics and its Applications;Ballester-Bolinches A.,2006

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