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The characters and structure of a class of modular representation algebras of cyclic p-groups

Published online by Cambridge University Press:  09 April 2009

J. C. Renaud
J. C. Renaud
Affiliation:
Department of Mathematics University of Papua New Guinea Box 4820 University P.O. Papua New Guinea
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Abstract

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Let p,m be the modular representation algebra of the cyclic group of order pm over the prime field Zp. The characters of p, m are derived. For p = 2, this provides an alternative proof of a result due to Carlson (1975), tha 2,m is a local ring. It is shown that for p>2, p, m is a direct sum of 2m local rings. Their dimensions and primitive idempotents are derived.

Subject classification (Amer. Math. Soc. (MOS) 1970): 20 C 20, 12 C 05, 12 C 30, 33 A 65.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 4 , December 1978 , pp. 410 - 418
Copyright
Copyright © Australian Mathematical Society 1978

References

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Renaud, J. C. (1977), The decomposition of products in the modular representation ring of a cyclic p-group (M.Sc. Thesis, University of Papua New Guinea).Google Scholar
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