The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups

Title: The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups
Creator: Willis, George A.
Relation: ARC.DP0984342 http://purl.org/au-research/grants/arc/DP0984342
Relation: Mathematische Annalen Vol. 361, Issue 1-2, p. 403-442
Publisher Link: http://dx.doi.org/10.1007/s00208-014-1074-y
Publisher: Springer
Resource Type: journal article
Date: 2015
Description: The scale of an endomorphism, α, of a totally disconnected, locally compact group G is the minimum index [α(U):α(U)∩U], for U a compact, open subgroup of G. A structural characterization of subgroups at which the minimum is attained is established. This characterization extends the notion of subgroup tidy for α from the previously understood case when α is an automorphism to the case when α is merely an endomorphism.
Subject: endomorphisms; disconnected locally compact groups; mathematics
Identifier: http://hdl.handle.net/1959.13/1331929
Identifier: uon:26741
Identifier: ISSN:0025-5831
Language: eng
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