Random generation of Thompson group F

被引：2
|
作者：
Polak, Gili Golan [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, Beer Sheva, Israel
来源：
JOURNAL OF ALGEBRA | 2022年 / 593卷
关键词：
Thompson group F; Random generation; Tree diagrams; RANDOM SUBGROUPS; SOLVABLE-GROUPS; CLASSIFICATION; PROBABILITY; FINITE;
D O I：
10.1016/j.jalgebra.2021.11.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that under two natural probabilistic models (studied by Cleary, Elder, Rechnitzer and Taback), the probability of a random pair of elements of Thompson group F generating the entire group is positive. We also prove that for any k generated subgroup H of F which contains a "natural " copy of F, the probability of a random (k+2)-generated subgroup of F coinciding with H is positive. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：507 / 524
页数：18
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