Finite groups with some pronormal subgroups-Reference-Cited by-同舟云学术

Finite groups with some pronormal subgroups

Published:2019-05-30 Issue:06 Volume:19 Page:2050110
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Liu Jianjun¹,Chang Jian¹,Chen Guiyun¹

Affiliation:

1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, P. R. China

Abstract

A subgroup [Formula: see text] of a finite group [Formula: see text] is called pronormal in [Formula: see text] if for each [Formula: see text], the subgroups [Formula: see text] and [Formula: see text] are conjugate in [Formula: see text]. In this paper, we analyze how certain properties of pronormal subgroups influence the structure of groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501108

Reference21 articles.

1. On weakly pronormal subgroups of finite groups

2. On the intersection of maximal subgroups of a finite group

3. ON GENERALISED PRONORMAL SUBGROUPS OF FINITE GROUPS

4. Finite groups in which pronormality and 𝔉-pronormality coincide

5. Pronormal subgroups of a direct product of groups

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1. The influence of weakly pronormal subgroups on the supersolvability of finite groups;Acta Mathematica Hungarica;2023-08

2. The influence of weakly pronormal subgroups on the structure of finite groups;Communications in Algebra;2022-12-05

3. On weakly H-subgroups of finite groups II*;Communications in Algebra;2022-04-07

4. A note on pronormal p-subgroups of finite groups;Monatshefte für Mathematik;2020-11-16