二次Kummer扩展的分级

IF 0.2 Q4 MATHEMATICS

Moscow University Mathematics Bulletin Pub Date : 2022-07-12 DOI:10.3103/s0027132222020024

D. A. Badulin, A. L. Kanunnikov

引用次数: 0

摘要

摘要描述了群对二次Kummer扩展的所有分级。这些扩展具有伽罗瓦群及其子群的自然分级。确定了该扩展具有其他组的非平凡分级的充要条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Gradings of Quadratic Kummer Extensions

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.

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来源期刊

Moscow University Mathematics Bulletin MATHEMATICS-

CiteScore

0.60

自引率

25.00%

发文量

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.