On algebraic normalisers of maximal tori in simple groups of Lie type

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2024-05-16 DOI:10.1515/jgth-2023-0070

Anton A. Baykalov

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引用次数: 0

Abstract

Let 𝐺 be a finite simple group of Lie type and let 𝑇 be a maximal torus of 𝐺. It is well known that if the defining field of 𝐺 is large enough, then the normaliser of 𝑇 in 𝐺 is equal to the algebraic normaliser N ⁢ ( G , T )

N(G,T)

. We identify explicitly all the cases when N G ⁢ ( T )

N_{G}(T)

is not equal to N ⁢ ( G , T )

N(G,T)

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论李型简单群中最大环的代数归一化

设𝐺是一个有限李型简单群，设𝑇是𝐺的最大环。众所周知，如果𝐺 的定义域足够大，那么𝐺 中𝑇 的归一化等于代数归一化 N ( G , T ) N(G,T)。我们明确指出 N G ( T ) N_{G}(T) 不等于 N ( G , T ) N(G,T) 的所有情况。

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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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory