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A bound for the orders of centralizers of irreducible subgroups of algebraic groups

IF 0.4 3区 数学 Q4 MATHEMATICS
Journal of Group Theory Pub Date : 2022-12-07 DOI:10.1515/jgth-2022-0111
M. Liebeck
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引用次数: 1

Abstract

Abstract We prove that if 𝐺 is a connected semisimple algebraic group of rank 𝑟, and 𝐻 is a subgroup of 𝐺 that is contained in no proper parabolic subgroup, then we have | C G ⁢ ( H ) | < c r ⁢ | Z ⁢ ( G ) | \lvert C_{G}(H)\rvert
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代数群的不可约子群的中心器阶的界
摘要证明了如果𝐺是一个秩为𝑟的连通半简单代数群，且𝐻是𝐺的一个子群，且该子群不包含真抛物子群，则有| C G¹(H) | < C r¹| Z¹(G) | \lvert c＿{g}(h)\rvert
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
Journal of Group Theory 数学-数学
CiteScore
1.00
自引率
0.00%
发文量
45
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
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