A property of the lamplighter group-Reference-Cited by-同舟云学术

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A property of the lamplighter group

Published:2020-02-24 Issue:1 Volume:8 Page:1-4
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:
Short-container-title:

Author:

Castellano I.¹,Cook G. Corob²,Kropholler P.H.³

Affiliation:

1. Dipartimento di Scienze Matematiche, Informatiche e Fisiche - University of Udine, Viale delle Scienze 206, Udine33100 (Italy).

2. Department of Mathematics - University of the Basque Country, Bilbao (Spain).

3. Mathematical Sciences - University of Southampton, SouthamptonSO17 1BJ (United Kingdom).

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2020-0001/pdf

Reference15 articles.

1. Operationen mit periodischen stabilisatoren der;Schlichting;Archiv Mathematik,1980

2. Subgroups and the Dynamics of Group Actions on Quasi - Invariant Measure Spaces MI Ph University of California Los;Creutz;Ann Arbor Thesis,2011

3. Algebraic entropy in locally linearly compact vector spaces Polynomials Modules pages;Castellano,2017

4. On inert subgroups of a group Rend Sem Mat;Robinson,2006

5. Length functions multiplicities algebraic entropy Mathematicum volume pages de Gruyter GmbH;Salce,2013

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