{"title":"Finite $p$-groups in which the normalizer of each nonnormal subgroup is small","authors":"Lu Gong","doi":"10.15672/hujms.1362734","DOIUrl":null,"url":null,"abstract":"Let $G$ be a finite non-Dedekindian $p$-group which satisfies $N_G(H)=HZ(G)$ for each nonnormal subgroup $H$, we call it an $NS$-group. \nIn this paper, it is proved that an $NS$-group is the product of minimal nonabelian group and the center.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.15672/hujms.1362734","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let $G$ be a finite non-Dedekindian $p$-group which satisfies $N_G(H)=HZ(G)$ for each nonnormal subgroup $H$, we call it an $NS$-group.
In this paper, it is proved that an $NS$-group is the product of minimal nonabelian group and the center.
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