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

Glöckner, Helge and Willis, George A. (2010) Classification of the simple factors appearing in composition series of totally disconnected contraction groups. Journal F\"ur Die Reine Und Angewandte Mathemati (643). pp. 141-169.

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## Abstract

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

Item Type: Article contraction groups, probability theory, Jordan-HÃ¶lder theorem, composition factors UNSPECIFIED UNSPECIFIED Dr David Allingham 28 Sep 2012 12:05 28 Sep 2012 12:49 https://docserver.carma.newcastle.edu.au/id/eprint/1183

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