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Primitivity in representations of polycyclic groups

Published online by Cambridge University Press:  24 October 2008

D. L. Harper
D. L. Harper
Affiliation:
Wycliffe Hall, Oxford
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Extract

In an earlier paper (5) we showed that a finitely generated nilpotent group which is not abelian-by-finite has a primitive irreducible representation of infinite dimension over any non-absolute field. Here we are concerned primarily with the converse question: Suppose that G is a polycyclic-by-finite group with such a representation, then what can be said about G?

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 1 , July 1980 , pp. 15 - 31
Copyright
Copyright © Cambridge Philosophical Society 1980

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References

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