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On the units of a modular group ring

Published online by Cambridge University Press:  17 April 2009

K.R. Pearson
K.R. Pearson
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria.
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Abstract

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It is shown that a finite group G is a normal subgroup of the group of units of the group ring of G over the ring of integers modulo n if and only if G is abelian or n = 2 and G is isomorphic to the symmetric group on 3 letters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 169 - 182
Copyright
Copyright © Australian Mathematical Society 1972

References

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