论文信息 - Representations of infinite soluble groups

Representations of infinite soluble groups

The purpose of this paper is to study the following two questions. (1) When does the group algebra of a soluble group have infinite dimensional irreducible modules? (2) When is the group algebra of a torsion free soluble group primitive? In relation to the first question, Roseblade [13] has proved that if G is a polycyclic group and k an absolute field then all irreducible kG-modules are finite dimensional. Here we prove a converse.

I. Musson

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