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On groups with real valued length function

Published online by Cambridge University Press:  24 October 2008

A. H. M. Hoare
A. H. M. Hoare
Affiliation:
Department of Mathematics, University of Birmingham
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Extract

Groups with length functions were introduced by Lyndon [5], and those with integer valued length were shown by Chiswell [2] to be equivalent to groups acting on trees, investigated by Serre[6]. Watatani[7] showed that for a group with integer valued length function the edges of the tree form an orthonormal set in a Hilbert space on which the group acts as a group of isometries.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 2 , March 1984 , pp. 223 - 227
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

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