Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589813 | Journal of Functional Analysis | 2015 | 21 Pages |
Abstract
In this paper, we study some large scale properties of the mother groups of bounded automata groups. First we give two methods to prove every mother group has infinite asymptotic dimension. Then we study the decomposition complexity of certain subgroup in the mother group. We prove the subgroup belongs to DωDω.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiaoman Chen, Jiawen Zhang,