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Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea

Published online by Cambridge University Press:  17 April 2009

George Willis
George Willis
Affiliation:
Department of Mathematics, University of Newcastle, Newcastle, NSW 2308, Australia, e-mail: george@frey.newcastle.edu.au
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Abstract

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Some structure theorems for totally disconnected groups are described. These theorems produce a certain positive integer valued function, called the scale function, on each totally disconnected group. The scale function has properties connected to the structure of the group and can be used to prove some conjectures of Hofmann and Mukherjea.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 489 - 494
Copyright
Copyright © Australian Mathematical Society 1995

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