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Article contents
Some examples of groups with no non-trivial action on a Λ-tree
Part of:
Permutation groups
Published online by Cambridge University Press: 26 February 2010
Extract
In [7] S. Pride gave a family of examples of finitely presented groups of cohomological dimension 2 having no non-trivial action on a simplicial tree. We show here that his examples have no non-trivial action on a Λ-tree, for any ordered abelian group Λ. This provides further slight evidence for an affirmative answer to Question A in §3.1 of [8]. We also give another similar family of examples.
MSC classification
Secondary:
20B27: Infinite automorphism groups
- Type
- Research Article
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- Copyright
- Copyright © University College London 1995
References
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