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Structure Theory of Totally Disconnected Locally Compact Groups via Graphs and Permutations

Published online by Cambridge University Press:  20 November 2018

Rögnvaldur G. Möller
Rögnvaldur G. Möller*
Affiliation:
Science Institute, University of Iceland, IS-107 Reykjavik, Iceland, e-mail: [email protected]
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Abstract

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Willis's structure theory of totally disconnected locally compact groups is investigated in the context of permutation actions. This leads to new interpretations of the basic concepts in the theory and also to new proofs of the fundamental theorems and to several new results. The treatment of Willis's theory is self-contained and full proofs are given of all the fundamental results.

Keywords

22D0520B0720B2705C25totally disconnected locally compact groupsscale functionpermutation groupsgroups acting on graphs
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 4 , 01 August 2002 , pp. 795 - 827
Copyright
Copyright © Canadian Mathematical Society 2002

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