Presentations of Topological Full Groups by Generators and Relations
Group Theory
2015-09-17 v2 Dynamical Systems
Abstract
We describe generators and defining relations for the commutator subgroup of topological full groups of minimal subshifts. We show that the word problem in a topological full group is solvable if and only if the language of the underlying subshift is recursive.
Cite
@article{arxiv.1508.04454,
title = {Presentations of Topological Full Groups by Generators and Relations},
author = {Rostislav Grigorchuk and Konstantin Medynets},
journal= {arXiv preprint arXiv:1508.04454},
year = {2015}
}
Comments
Some typos fixed