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arXiv · 1508.04454

Presentations of Topological Full Groups by Generators and Relations

Rostislav Grigorchuk·Konstantin Medynets
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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.

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Rostislav Grigorchuk, Konstantin Medynets. 2015-08-18. Presentations of Topological Full Groups by Generators and Relations. https://arxiv.org/abs/1508.04454

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