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Primitive irreducible representations of nilpotent groups

Published online by Cambridge University Press:  24 October 2008

D. L. Harper
D. L. Harper
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge
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Extract

Here we answer a question raised by Zaleskii (5) and reiterated by Segal (3) of whether a finitely generated nilpotent group can have primitive irreducible representations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 82 , Issue 2 , September 1977 , pp. 241 - 247
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

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(5)Zaleskii, A. E.Irreducible representations of finitely generated nilpotent torsion-free groups. Mat. Zametki 9 (1971), 199–210. Translation: Math. Notes Acad. Sci. USSR. pp. 117–123.Google Scholar