- Title
- The scale function and lattices
- Creator
- Willis, G. A.
- Relation
- ARC.DP150100060 http://purl.org/au-research/grants/arc/DP150100060
- Relation
- Proceedings of the American Mathematical Society Vol. 145, Issue 7, p. 3185-3190
- Publisher Link
- http://dx.doi.org/10.1090/proc/13449
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 2017
- Description
- It is shown that, given a lattice H in a totally disconnected, locally compact group G, the contraction subgroups in G and the values of the scale function on G are determined by their restrictions to H. Group theoretic properties intrinsic to the lattice, such as being periodic or infinitely divisible, are then seen to imply corresponding properties of G.
- Subject
- scale function; finite co-volume; lattice; uniscalar; anisotropic
- Identifier
- http://hdl.handle.net/1959.13/1354162
- Identifier
- uon:31221
- Identifier
- ISSN:0002-9939
- Language
- eng
- Reviewed
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