Classical groups, probabilistic methods, and the (2,3)-generation problem

被引：83

作者：

Liebeck, MW ^{[1
]}

Shalev, A ^{[1
]}

机构：

[1] HEBREW UNIV JERUSALEM, JERUSALEM, ISRAEL

来源：

ANNALS OF MATHEMATICS | 1996年 / 144卷 / 01期

关键词：

D O I：

10.2307/2118584

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the probability that randomly chosen elements of prescribed type in a finite simple classical group G generate G; in particular, we prove a conjecture of Kantor and Lubotzky in this area. The probabilistic approach is then used to determine the finite simple classical quotients of the modular group PSL(2)(Z), up to finitely many exceptions.

引用

页码：77 / 125

页数：49