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On the radical of the group algebra of a p-nilpotent group

Published online by Cambridge University Press:  09 April 2009

R. J. Clarke
R. J. Clarke
Affiliation:
Mathematics Department University of Adelaide
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In this note we give a basis for the radical of the group algebra of a p-nilpotent group over a field of characteristic p in terms of the ordinary representation theory of the group. We use our result to calculate the exponent of the radical for such a group.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 1 , February 1972 , pp. 119 - 123
Copyright
Copyright © Australian Mathematical Society 1972

References

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