{"title":"THE INFLUENCE OF SOME SUBGROUPS OF PRIME POWER","authors":"M. M. AL-SHOMRANI, M. EZZAT MOHAMED","doi":"10.59277/mrar.2023.25.75.3.455","DOIUrl":null,"url":null,"abstract":"Let G be a finite group. A subgroup of G is called S-quasinormal in G if it permutes with each Sylow subgroup of G. In this paper, we investigate the structure of the finite group G when certain abelian subgroups of largest possible exponent of prime power orders are S-quasinormal in G.","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"2 1","pages":"0"},"PeriodicalIF":0.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.3.455","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let G be a finite group. A subgroup of G is called S-quasinormal in G if it permutes with each Sylow subgroup of G. In this paper, we investigate the structure of the finite group G when certain abelian subgroups of largest possible exponent of prime power orders are S-quasinormal in G.
期刊介绍:
The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.