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.

Bibliographic Details
Main Authors: Castellano I., Cook G. Corob, Kropholler P.H.
Format: Article
Language:English
Published: De Gruyter 2020-02-01
Series:Topological Algebra and its Applications
Subjects:
Online Access:https://doi.org/10.1515/taa-2020-0001