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Positive definite functions and relative property (T) for subgroups of discrete groups

Published online by Cambridge University Press:  17 April 2009

Teresa Bates  and
Guyan Robertson
Teresa Bates
Affiliation:
Department of MathematicsUniversity of OttawaOntario K1N 6N5Canada e-mail: 060502@acadvml.uottawa.ca
Guyan Robertson
Affiliation:
Department of MathematicsUniversity of NewcastleNew South Wales 2308Australia e-mail: guyan@frey.newcastle.edu.au
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Abstract

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Relative Property (T) for a subgroup H of a group G and its connection with positive definite functions are studied. A relation with the Haagerup approximation property is established. We show that if H is a non-normal subgroup of a group G which has Property (T) and G/H is amenable as a graph then H has finite index in G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 1 , August 1995 , pp. 31 - 39
Copyright
Copyright © Australian Mathematical Society 1995

References

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