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On the geodesic distance and group actions on trees
Published online by Cambridge University Press: 24 October 2008
Extract
The natural distance function on the vertices of a tree is a kernel of negative type. As a corollary, for any group G acting on a tree X, the length function |g| = d(υ, gυ) is a negative definite function on G for any given vertex υ of X.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 67 - 70
- Copyright
- Copyright © Cambridge Philosophical Society 1991