Character levels and character bounds for finite classical groups

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2023-09-29 DOI:10.1007/s00222-023-01221-5

Robert M. Guralnick, Michael Larsen, Pham Huu Tiep

引用次数: 1

Abstract

Abstract The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to $|G|$ | G | in a logarithmic sense.

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有限经典群的字符层次和字符边界

摘要本文的主要结果在元的中心化器相对于$|G|$ |G|在对数意义上具有小阶的情况下，建立了有限经典群的水平理论和强特征界。

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

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).