有限域上代数群的生长与展开式

Analytic Methods in Arithmetic Geometry Pub Date : 2019-02-17 DOI:10.1090/conm/740/14902

H. Helfgott

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引用次数: 5

摘要

本文以$SL_2(\mathbb{F}_q)$及其子群为主要例子，简要介绍了Lie型群中生长的研究。它们是我2016年在亚利桑那冬季学校分发的笔记的编辑版本。这些笔记部分基于我在《公牛》杂志上的调查。点。数学。Soc。(2015)，部分是我在库斯科(阿格拉)和奥廷根讲授的关于这一主题的课程笔记。

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Growth and expansion in algebraic groups over finite fields

This is a brief introduction to the study of growth in groups of Lie type, with $SL_2(\mathbb{F}_q)$ and some of its subgroups as the key examples. They are an edited version of the notes I distributed at the Arizona Winter School in 2016. Those notes were, in turn, based in part on my survey in Bull. Am. Math. Soc. (2015) and in part on the notes for courses I gave on the subject in Cusco (AGRA) and G\"ottingen.

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Analytic Methods in Arithmetic Geometry

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