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

Helge Glockner·George A. Willis
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Abstract

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

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Helge Glockner, George A. Willis. 2006-04-04. Classification of the simple factors appearing in composition series of totally disconnected contraction groups. https://arxiv.org/abs/math/0604062

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