Willis theory via graphs

Title: Willis theory via graphs
Creator: Bywaters, Timothy; Tornier, Stephen
Relation: Groups, Geometry, and Dynamics Vol. 13, Issue 4, p. 1335-1372
Publisher Link: http://dx.doi.org/10.4171/ggd/525
Publisher: E M S Press
Resource Type: journal article
Date: 2019
Description: We study the scale and tidy subgroups of an endomorphism of a totally disconnected locally compact group using a geometric framework. This leads to new interpretations of tidy subgroups and the scale function. Foremost, we obtain a geometric tidying procedure which applies to endomorphisms as well as a geometric proof of the fact that tidiness is equivalent to being minimizing for a given endomorphism. Our framework also yields an endomorphism version of the Baumgartner–Willis tree representation theorem. We conclude with a construction of new endomorphisms of totally disconnected locally compact groups from old via HNN-extensions.
Subject: totally disconnected locally compact group; scale function; tidy subgroups; endomorphisms of group; permutation groups; groups act on graphs
Identifier: http://hdl.handle.net/1959.13/1444317
Identifier: uon:42266
Identifier: ISSN:1661-7207
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format