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Kirillov Theory for a Class of Discrete Nilpotent Groups

Published online by Cambridge University Press:  20 November 2018

Haryono Tandra  and
William Moran
Haryono Tandra
Affiliation:
School of Pure Mathematics, The University of Adelaide, Adelaide, S.A. 5005, Australia e-mail: htandra@maths.adelaide.edu.au
William Moran
Affiliation:
Department of Electrical and Electronic Engineering, University of Melbourne, Victoria 3010, Australia e-mail: b.moran@ee.mu.oz.au
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Abstract

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This paper is concerned with the Kirillov map for a class of torsion-free nilpotent groups $G$. $G$ is assumed to be discrete, countable and $\pi $-radicable, with $\pi $ containing the primes less than or equal to the nilpotence class of $G$. In addition, it is assumed that all of the characters of $G$ have idempotent absolute value. Such groups are shown to be plentiful.

Keywords

22D10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 4 , 01 August 2004 , pp. 883 - 896
Copyright
Copyright © Canadian Mathematical Society 2004

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