Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-17T06:25:23.814Z Has data issue: false hasContentIssue false
  • English
  • Français

THE NUMBER OF PRIME FACTORS OF THE SCALE FUNCTION ON A COMPACTLY GENERATED GROUP IS FINITE

Published online by Cambridge University Press:  18 April 2001

GEORGE A. WILLIS
GEORGE A. WILLIS
Affiliation:
Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia; e-mail: george@frey.newcastle.edu.au
Get access

Abstract

It is shown that for each compactly generated totally disconnected locally compact group G, there is a finite number of prime numbers, p1, p2, …, pn, such that the scale function s : G → N satisfies s(x) = p1a1(x)p2a2(x)…, pnan(x), where x ∈ G.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 168 - 174
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported by A.R.C. Grant A69700321.