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

Bulletin of the London Mathematical Society

Volumn 33, Issue 2, 2001, Pages 168-174

  Willis, George A ^a  

^a UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040488921     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/blms/33.2.168     Document Type: Article

References (10)

1. D. VAN DANTZIG, 'Zur topologischen Algebra III. Brouwersche und Cantorsche Gruppen', Compositio Math. 3 (1936) 408-426.
2. H. GLÖCKNER, 'Scale functions on p-adic Lie groups', Manuscripta Math. 97 (1998) 205-215.
3. H. GLÖCKNER, 'Scale functions on linear groups over local skew fields', J. Algebra 205 (1998) 525-541.
4. E. HEWITT and K. A. ROSS, Abstract harmonic analysis I, Grundlehren Math. Wiss. 115 (1st edn, Springer, Berlin, 1963).
5. K. H. HOFMANN and A. MUKHERJEA, 'Concentration functions and a class of locally compact groups', Math. Ann. 256 (1981) 535-548.
6. W. JAWORSKI, J. M. ROSENBLATT and G. A. WILLIS, 'Concentration functions in locally compact groups', Math. Ann. 305 (1996) 673-691.
7. G. SCHLICHTING, 'Polynomidentitäten und Permutationdarstellungen lokalkompakter Gruppen', Invent. Math. 55 (1979) 97-106.
8. G. A. WILLIS, 'The structure of totally disconnected, locally compact groups', Math. Ann. 300 (1994) 341-363.
9. G. A. WILLIS, 'Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea', Bull. Austral. Math. Soc. 51 (1995) 489-494.
10. G. A. WILLIS, 'Further properties of the scale function on a totally disconnected group', J. Algebra, to appear.