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Centralizers in Ã2 groups
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Guyan Robertson
Veröffentlicht/Copyright:
15. März 2011
Abstract
Let Γ be a torsion-free discrete group acting cocompactly on a two dimensional euclidean building Δ. The centralizer of an element of Γ is either a Bieberbach group or is described by a finite graph of finite cyclic groups. Explicit examples are computed, with Δ of type Ã2.
Received: 2010-02-12
Revised: 2010-12-02
Published Online: 2011-03-15
Published in Print: 2011-November
© de Gruyter 2011
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Artikel in diesem Heft
- Remarks on chains of weakly closed subgroups
- Closed normal subgroups of free pro-S-groups of finite rank
- Point stabilisers for the enhanced and exotic nilpotent cones
- The number of conjugacy classes in pattern groups is not a polynomial function
- On finite T-groups and the Wielandt subgroup
- A direct product coming from a particular set of character degrees
- Centralizers in Ã2 groups
- On centralizers of parabolic subgroups in Coxeter groups
- Local splitting of locally compact groups and pro-Lie groups
- Cylindric embeddings of Cayley graphs
- Compactifications of a representation variety
Artikel in diesem Heft
- Remarks on chains of weakly closed subgroups
- Closed normal subgroups of free pro-S-groups of finite rank
- Point stabilisers for the enhanced and exotic nilpotent cones
- The number of conjugacy classes in pattern groups is not a polynomial function
- On finite T-groups and the Wielandt subgroup
- A direct product coming from a particular set of character degrees
- Centralizers in Ã2 groups
- On centralizers of parabolic subgroups in Coxeter groups
- Local splitting of locally compact groups and pro-Lie groups
- Cylindric embeddings of Cayley graphs
- Compactifications of a representation variety
