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The Number of Prime Factors of the Scale Function on a Compactly Generated Group is Finite

The Number of Prime Factors of the Scale Function on a Compactly Generated Group is Finite 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

The Number of Prime Factors of the Scale Function on a Compactly Generated Group is Finite

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References (10)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/33.2.168
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Mar 1, 2001

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