{"title":"Gradings of Quadratic Kummer Extensions","authors":"D. A. Badulin, A. L. Kanunnikov","doi":"10.3103/s0027132222020024","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>All gradings of quadratic Kummer extensions by a group are described. These extensions have a natural grading by Galois group and its subgroups. Sufficient and necessary conditions for such extensions to have nontrivial gradings by other groups are determined.</p>","PeriodicalId":42963,"journal":{"name":"Moscow University Mathematics Bulletin","volume":"54 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mathematics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s0027132222020024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
All gradings of quadratic Kummer extensions by a group are described. These extensions have a natural grading by Galois group and its subgroups. Sufficient and necessary conditions for such extensions to have nontrivial gradings by other groups are determined.
期刊介绍：
Moscow University Mathematics Bulletin is the journal of scientific publications reflecting the most important areas of mathematical studies at Lomonosov Moscow State University. The journal covers research in theory of functions, functional analysis, algebra, geometry, topology, ordinary and partial differential equations, probability theory, stochastic processes, mathematical statistics, optimal control, number theory, mathematical logic, theory of algorithms, discrete mathematics and computational mathematics.
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