- 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
- Reviewed
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