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An obstruction to the strong relative hyperbolicity of a group
-
James W Anderson
,
Javier Aramayona
Published/Copyright:
January 4, 2008
Abstract
We give a simple combinatorial criterion for a group that, when satisfied, implies that the group cannot be strongly relatively hyperbolic. The criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and automorphism and outer automorphism groups of free groups.
Received: 2005-12-13
Revised: 2006-12-25
Published Online: 2008-01-04
Published in Print: 2007-11-20
© Walter de Gruyter
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Articles in the same Issue
- A bound for the Bredon cohomological dimension
- An obstruction to the strong relative hyperbolicity of a group
- The algebra of strand splitting. I. A braided version of Thompson's group V
- Direct products and profinite completions
- The non-abelian tensor product of polycyclic groups is polycyclic
- Profinite HNN-constructions
- A finiteness condition for verbal subgroups
- Orbital digraphs of infinite primitive permutation groups
- Another measuring argument for finite permutation groups
- The strong symmetric genus of the finite Coxeter groups
- On the injectors of finite groups
- On automorphisms of finite p-groups
