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Characters of the discrete Heisenberg group and of its completion

Published online by Cambridge University Press:  21 April 2004

HARYONO TANDRA  and
WILLIAM MORAN
HARYONO TANDRA
Affiliation:
School of Pure Mathematics, The University of Adelaide, S.A. 5005, Australia. e-mail: [email protected]
WILLIAM MORAN
Affiliation:
Department of Electrical and Electronic Engineering, The University of Melbourne, Victoria 3010, Australia. e-mail: [email protected]
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Abstract

In this paper we describe the relationship between characters of finitely generated torsion-free nilpotent groups of class 2 and their completions. In particular we give a detailed description of this connection for the discrete Heisenberg group.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 3 , May 2004 , pp. 525 - 539
Copyright
2004 Cambridge Philosophical Society

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