Linear representations of random groups

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2018-10-02 DOI:10.1142/S1664360719500164

G. Kozma, A. Lubotzky

引用次数: 4

Abstract

We show that for a fixed [Formula: see text], Gromov random groups with any density [Formula: see text] have no nontrivial degree [Formula: see text] representations over any field, a.a.s. This is especially interesting in light of the results of Agol, Ollivier and Wise that when [Formula: see text] such groups have a faithful linear representation over [Formula: see text], a.a.s.

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随机组的线性表示

我们显示一个固定的公式:看到文本,格罗莫夫随机群体与任何密度(公式:看到文本)没有重要的程度(公式:看到文本)表示在任何领域,嗜。这是特别有趣的阿戈尔的结果,Ollivier和智慧,当[公式:看到文本]这些团体有一个忠实的线性表示(公式:看到文本),嗜。

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

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.