The number of prime factors of the scale function on a compactly generatedgroup is finite

Authors
Willis, GA
Citation
Ga. Willis, The number of prime factors of the scale function on a compactly generatedgroup is finite, B LOND MATH, 33, 2001, pp. 168-174
Citations number
10
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
ISSN journal
00246093 → ACNP
Volume
33
Year of publication
2001
Part
2
Pages
168 - 174
Database
ISI
SICI code
0024-6093(200103)33:<168:TNOPFO>2.0.ZU;2-V
Abstract
It is shown that for each compactly generated totally disconnected locally compact group G, there is a finite number of prime numbers, P-1, P-2,..., P -n, such that the scale function s : G --> N satisfies s(x) = p(1)(a1(x))p( 2)(a2(x))...p(n)(an(x)) , where x E G.