A generalization to Sylow permutability of pronormal subgroups of finite groups-Reference-Cited by-同舟云学术

A generalization to Sylow permutability of pronormal subgroups of finite groups

Published:2019-04-17 Issue:03 Volume:19 Page:2050052
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Esteban-Romero R.¹²,Longobardi P.³,Maj M.³

Affiliation:

1. Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100 Burjassot, València, Spain

2. Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Camí de Vera, s/n, 46022 València, Spain

3. Dipartimento di Matematica, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, Salerno, Italy

Abstract

In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, or groups in which Sylow permutability is a transitive relation, can be characterized in terms of this property, in a similar way as T-groups, or groups in which normality is transitive, can be characterized in terms of pronormality.

Funder

National Group for Algebraic and Geometric Structures, and their Applications

Ministerio de Economia y Competitividad

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820500528

Reference19 articles.

1. Sylow Permutable Subnormal Subgroups of Finite Groups

2. On finite J-groups

3. On finite soluble groups in which Sylow permutability is a transitive relation

4. Products of Finite Groups

5. Mathematics and Its Applications;Ballester-Bolinches A.,2006