Primitivity in representations of polycyclic groups-Reference-Cited by-同舟云学术

Primitivity in representations of polycyclic groups

Published:1980-07 Issue:1 Volume:88 Page:15-31
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Harper D. L.

Abstract

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?

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

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