ON SYLOW NORMALIZERS OF FINITE GROUPS-Reference-Cited by-同舟云学术

ON SYLOW NORMALIZERS OF FINITE GROUPS

Published:2013-10-31 Issue:03 Volume:13 Page:1350116
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

KAZARIN L. S.¹,MARTÍNEZ-PASTOR A.²,PÉREZ-RAMOS M. D.³

Affiliation:

1. Department of Mathematics, Yaroslavl P. Demidov State University, Sovetskaya Str 14, 150000 Yaroslavl, Russia

2. Escuela Técnica Superior de Ingeniería Informática, Instituto Universitario de Matemática Pura y Aplicada IUMPA, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022 Valencia, Spain

3. Departament d'Àlgebra, Universitat de València, C/ Doctor Moliner 50, 46100 Burjassot, València, Spain

Abstract

The paper considers the influence of Sylow normalizers, i.e. normalizers of Sylow subgroups, on the structure of finite groups. In the universe of finite soluble groups it is known that classes of groups with nilpotent Hall subgroups for given sets of primes are exactly the subgroup-closed saturated formations satisfying the following property: a group belongs to the class if and only if its Sylow normalizers do so. The paper analyzes the extension of this research to the universe of all finite groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498813501168

Reference20 articles.

1. On F-Critical Groups

2. Two Questions of L. A. Shemetkov on Critical Groups

3. On normalizers of Sylow subgroups in finite groups

4. On finite groups with nilpotent Sylow-normalizers

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Finite Groups with Subnormal Residuals of Sylow Normalizers;Siberian Mathematical Journal;2022-07

2. Finite Groups with Formation Subnormal Normalizers of Sylow Subgroups;Mathematical Notes;2020-11

3. On π-S-permutable subgroups of finite groups;Mediterranean Journal of Mathematics;2014-10-21