Totally disconnected groups and proofs of conjectures of hofmann and mukherjea

Abstract

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. © 1995, Australian Mathematical Society. All rights reserved.