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Classification of the simple factors appearing in composition series of totally disconnected contraction groups
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Helge Glöckner
Veröffentlicht/Copyright:
21. Juni 2010
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.
Received: 2008-05-27
Revised: 2009-02-12
Published Online: 2010-06-21
Published in Print: 2010-June
© Walter de Gruyter Berlin · New York 2010
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- Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups
- On stable minimal disks in manifolds with nonnegative isotropic curvature
- Monotone volume formulas for geometric flows
- Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory
- Coverings of p-adic period domains
- Classification of the simple factors appearing in composition series of totally disconnected contraction groups
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Artikel in diesem Heft
- Dirac type operators for spin manifolds associated to congruence subgroups of generalized modular groups
- On stable minimal disks in manifolds with nonnegative isotropic curvature
- Monotone volume formulas for geometric flows
- Noncommutative Atiyah-Patodi-Singer boundary conditions and index pairings in KK-theory
- Coverings of p-adic period domains
- Classification of the simple factors appearing in composition series of totally disconnected contraction groups
- The representation category of any compact group is the bimodule category of a II1 factor
- Models of quasiprojective homogeneous spaces for Hopf algebras
