{"title":"The influence of weakly-supplemented subgroups on the structure of finite groups","authors":"Yuxuan Zhang","doi":"10.12988/ija.2022.91729","DOIUrl":null,"url":null,"abstract":"Let G be a finite group. A subgroup L of G is said to be weakly-supplemented in G if there exists a proper subgroup M of G such that G = LM . The key of this paper is to determine the supersolvability and p -nilpotency of finite groups under assumption that some primary subgroups are weakly-supplemented.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Algebra and Computation","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12988/ija.2022.91729","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let G be a finite group. A subgroup L of G is said to be weakly-supplemented in G if there exists a proper subgroup M of G such that G = LM . The key of this paper is to determine the supersolvability and p -nilpotency of finite groups under assumption that some primary subgroups are weakly-supplemented.
期刊介绍：
The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.
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