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Maximal quotient rings of prime group algebras. II Uniform right ideals

Published online by Cambridge University Press:  09 April 2009

John Hannah
John Hannah
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch, New Zealand.
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Abstract

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Suppose KG is a prime nonsingular group algebra with uniform right ideals. We show that G has no nontrivial locally finite normal subgroups. If G is soluble or residually finite, or if K has zero characteristic and G is linear, then the maximal right quotient ring of KG is simple Artinian.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 3 , November 1977 , pp. 339 - 349
Copyright
Copyright © Australian Mathematical Society 1977

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