- Title
- Scales for co-compact embeddings of virtually free groups
- Creator
- Baumgartner, Udo
- Relation
- Geometriae Dedicata Vol. 130, Issue 1, p. 163-175
- Publisher Link
- http://dx.doi.org/10.1007/s10711-007-9212-2
- Publisher
- Springer Netherlands
- Resource Type
- journal article
- Date
- 2007
- Description
- Let Γ be a group which is virtually free of rank at least 2 and let Ftd(Γ) be the family of totally disconnected, locally compact groups containing Γ as a co-compact lattice. We prove that the values of the scale function with respect to groups in Ftd(Γ) evaluated on the subset Γ have only finitely many prime divisors. This can be thought of as a uniform property of the family Ftd(Γ).
- Subject
- uniform lattice; virtually free group; totally disconnected group; scale function
- Identifier
- uon:2414
- Identifier
- http://hdl.handle.net/1959.13/29132
- Identifier
- ISSN:0046-5755
- Language
- eng
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