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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
Uncontrolled Keywords: contraction groups, probability theory, Jordan-Hölder theorem, composition factors
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Dr David Allingham
Date Deposited: 28 Sep 2012 12:05
Last Modified: 28 Sep 2012 12:49
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1183

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