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Anisotropic principal series and generators of a free group

Published online by Cambridge University Press:  17 April 2009

Carlo Pensavalle
Carlo Pensavalle
Affiliation:
Istituto di Matematica Universitàdi Sassari Via Vienna 2 07100 SassariItaly
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In this paper we prove that the equivalence of anisotropic principal series of a free group Г related to different generator sets induces a Г-isomorphism between the related Cayley-graphs. As a consequence we obtain that a nontrivial change of generators for Г leads to inequivalent anisotropic principal series.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 205 - 217
Copyright
Copyright © Australian Mathematical Society 1994

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