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Genus of nilpotent groups of Hirsch length six

Published online by Cambridge University Press:  24 October 2008

Charles Cassidy  and
Caroline Lajoie
Charles Cassidy
Affiliation:
Département de Mathématiques et de Statistique, Université Laval, Québec, Canada
Caroline Lajoie
Affiliation:
Département de Mathématiques et de Statistique, Université Laval, Québec, Canada
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Abstract

In this paper, we characterize the genus of an arbitrary torsion-free finitely generated nilpotent group of class two and of Hirsch length six by means of a finite number of arithmetical invariants. An algorithm which permits the enumeration of all possible genera that can occur under the conditions above is also given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 3 , May 1995 , pp. 431 - 438
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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