Confined subgroups of Thompson's group F and its embeddings into wobbling groups

被引：0

作者：

Chaudkhari, Maksym ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Math, 2515 Speedway, Austin, TX 78712 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2021年 / 15卷 / 02期

关键词：

Thompson's group F; Schreier graphs; confined subgroups; wobbling groups; INTERVAL;

D O I：

10.4171/GGD/604

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a characterisation of confined subgroups of Thompson's group F. As a result, we deduce that the orbital graph of a point under an action of F has uniformly subexponential growth if and only if this point is fixed by the commutator subgroup. This allows us to prove non-embeddability of F into wobbling groups of graphs with uniformly subexponential growth.

引用

页码：491 / 501

页数：11

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