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

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

2006-04-04

arxiv.org/abs/math/0604062v1

Mathematics

Group Theory

34 pages, LaTeX

Scientific paper

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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