Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups

Simon Thomas

doi:10.4171/GGD/489

Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups

Simon Thomas

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Using results on the structure of the topological full groups ofminimal subshifts, we prove that the isomorphism relation on the space of finitely generated complete groups is not smooth.

Original language	English (US)
Pages (from-to)	327-347
Number of pages	21
Journal	Groups, Geometry, and Dynamics
Volume	13
Issue number	1
DOIs	https://doi.org/10.4171/GGD/489
State	Published - Jan 2018

All Science Journal Classification (ASJC) codes

Geometry and Topology
Discrete Mathematics and Combinatorics

Keywords

Borel equivalence relation.
Minimal subshift
Topological full group

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10.4171/GGD/489

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title = "Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups",

abstract = "Using results on the structure of the topological full groups ofminimal subshifts, we prove that the isomorphism relation on the space of finitely generated complete groups is not smooth.",

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year = "2018",

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doi = "10.4171/GGD/489",

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Topological full groups of minimal subshifts and the classification problem for finitely generated complete groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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