{"title":"The behavior of $pi$-submaximal subgroups under homomorphisms with $pi$-separable kernels","authors":"D. Revin, A. Zavarnitsine","doi":"10.33048/SEMI.2020.17.087","DOIUrl":null,"url":null,"abstract":"We explore the extent to which constructing the inductive theory of $\\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\\pi$-submaximal subgroups under homomorphisms with $\\pi$-separable kernels and construct examples where such behavior is irregular.","PeriodicalId":8427,"journal":{"name":"arXiv: Group Theory","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33048/SEMI.2020.17.087","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We explore the extent to which constructing the inductive theory of $\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels and construct examples where such behavior is irregular.
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