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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/29125

Title: Contraction groups and scales of automorphisms of totally disconnected locally compact groups
Author/Creator: Baumgartner, Udo; Willis, George A.
Description: We study contraction groups for automorphisms of totally disconnected locally compact groups using the scale of the automorphism as a tool. The contraction group is shown to be unbounded when the inverse automorphism hrcr non-trivial scale and this scale is shown to be the inverse value of the modular function on the closure of the contraction group at the automorphism. The closure of the contraction group is represented as acting on a homogenous tree and closed contraction groups are characterised.
Relation: Israel Journal of Mathematics Vol. 142, Issue 1, p. 221-248
Publisher Link: http://dx.doi.org/10.1007/BF02771534
Date: 2004
Publisher: Springer
Keyword(s): group theory; 22D05 (primary); 22D45; 20E25; 20E36; 20E08 (secondary)
Resource Type: journal article
Rights: The final publication is available at www.springerlink.com
Identifier: http://hdl.handle.net/1959.13/29125
Identifier: ISSN:0021-2172

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