- Title
- Scale functions and tree ends
- Creator
- Kepert, A.; Willis, G.
- Relation
- Journal of the Australian Mathematical Society Vol. 70, Issue 2, p. 273-292
- Publisher Link
- http://dx.doi.org/10.1017/S1446788700002640
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2001
- Description
- A class of totally disconnected groups consisting of partial direct products on an index set is examined. For such a group, the scale function is found, and for automorphisms arising from permutations of the index set, the tidy subgroups are characterised. When applied to the case where the index set is a finitely generated free group and the permutation is translation by an element* of the group, the scale depends on the cyclically reduced form of x and the tidy subgroup on the element which conjugates x to its cyclically reduced form.
- Subject
- scale functions; uniscalar functions; group theory; p-adic Lie groups
- Identifier
- http://hdl.handle.net/1959.13/933271
- Identifier
- uon:11588
- Identifier
- ISSN:0263-6115
- Language
- eng
- Full Text
- Reviewed
- Hits: 1321
- Visitors: 1730
- Downloads: 163
Thumbnail | File | Description | Size | Format | |||
---|---|---|---|---|---|---|---|
View Details Download | ATTACHMENT01 | Publisher version (open access) | 1 MB | Adobe Acrobat PDF | View Details Download |