A property of the lamplighter group

We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.

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Veröffentlicht in:arXiv.org 2019-09
Hauptverfasser: Castellano, Ilaria, Cook, Ged Corob, Kropholler, Peter H
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creator Castellano, Ilaria
Cook, Ged Corob
Kropholler, Peter H
description We show that the inert subgroups of the lamplighter group fall into exactly five commensurability classes. The result is then connected with the theory of totally disconnected locally compact groups and with algebraic entropy.
doi_str_mv 10.48550/arxiv.1909.01094
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Subgroups
title A property of the lamplighter group
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