Scale functions and tree ends

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
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