A property of the lamplighter group

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
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Mathematics - Group Theory
Subgroups
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1909.01094