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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/26794

Title: Further properties of the scale function on a totally disconnected group
Author/Creator: Willis, George A.
Description: A new characterisation of the scale function on the locally compact group G is given. It is shown that for x in G the scale of x, s(x), is the minimum value attained by the index [xUx⁻¹ : xUx⁻¹ ∩ U] as U ranges over all compact open subgroups of G. The properties of the scale function when passing to subgroups and quotient groups of G and under increasing unions of groups are also described.
Relation: Journal of Algebra Vol. 237, Issue 1, p. 142-164
Publisher Link: http://dx.doi.org/10.1006/jabr.2000.8584
Date: 2001
Publisher: Elsevier
Keyword(s): locally compact group; scale function; tidy subgroup; modular function; automorphism
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/26794
Identifier: ISSN:0021-8693

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