163
Views
2
CrossRef citations to date
0
Altmetric
Articles

On weakly H-subgroups of finite groups II*

, &
Pages 4009-4015 | Received 15 Jun 2021, Accepted 24 Feb 2022, Published online: 07 Apr 2022
 

Abstract

Let G be a group. A subgroup H of G is called an H-subgroup in G if NG(H)HxH for all xG. Furthermore, a subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and HK is an H-subgroup in G. In this article, some new criteria for a group to be p-nilpotent and supersolvable are given.

2020 Mathematics Subject Classification:

Acknowledgements

The authors are indebted to the referees for valuable suggestions and very careful reading of the original manuscript.

Additional information

Funding

The research of the work is supported by the National Natural Science Foundation of China (11901169) and Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, College of Mathematics and Information Sciences, Henan Normal University.

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.