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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

I. M. Chiswell
I. M. Chiswell
Affiliation:
School of Mathematical Sciences, Queen Mary and Westfield College, University of London, Mile End Road, London El 4NS.
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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
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 214 - 219
Copyright
Copyright © University College London 1995

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References

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