Classification of the simple factors appearing in composition series of totally disconnected contraction groups

Helge Glöckner 1  and George A. Willis 2
  • 1 Universität Paderborn, Institut für Mathematik, Warburger Str. 100, 33098 Paderborn, Germany. e-mail: glockner@math.upb.de
  • 2 Department of Mathematics, University of Newcastle, Callaghan, NSW 2308, Australia. e-mail: George.Willis@newcastle.edu.au

Abstract

Let G be a totally disconnected, locally compact group admitting a contractive automorphism α. We prove a Jordan-Hölder theorem for series of α-stable closed subgroups of G, classify all possible composition factors and deduce consequences for the structure of G.

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