群归一化器中最大环面的最小补

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2022-01-01 DOI:10.1070/IM9083

A. Galt, A. Staroletov

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引用次数: 1

摘要

设为Lie型的有限群和的Weyl群。对于的每一个极大环面，我们在其代数归一化式化中找到了补的最小阶。特别地，我们找到了所有有补的最大环面。的一个元素。我们找到了元素的最小升力阶。

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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Minimal supplements of maximal tori in their normalizers for the groups

Let be a finite group of Lie type and the Weyl group of . For every maximal torus of , we find the minimal order of a supplement of in its algebraic normalizer . In particular, we find all the maximal tori that have a complement in . Let correspond to an element of . We find the minimal orders of the lifts of the elements in .

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.