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Decomposition of representation algebras

Published online by Cambridge University Press:  09 April 2009

W. D. Wallis
W. D. Wallis
Affiliation:
La Trobe University Bundoora, Victoria
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Throughout this paper g is a finite group and f is a complete local principal ideal domain of characteristic p where p divides |g|. The notations of [5] are adopted; moreover we shall denote the isomorphism-class of an f g-representation module ℳ by M, the class of ℳx by Mx and the class of ℳR by MR for suitable groups K and R.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 395 - 402
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Conlon, S. B., ‘The modular representation algebra of groups with Sylow 2-subgroup Z 2×Z 2’, J. Aust. Math. Soc. 6 (1966), 76–88.CrossRefGoogle Scholar
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[3]Curtis, Charles W. and Irving, Reiner, Representation theory of finite groups and associative algebras (Interscience, New York, 1962).Google Scholar
[4]Green, J. A., ‘A transfer theorem for modular representations’, J. of Algebra 1 (1964), 73–84.CrossRefGoogle Scholar
[5]Wallis, W. D., ‘Factor ideals of some representation algebras’, J. Aust. Math. Soc. 9 (1969), 109–123.CrossRefGoogle Scholar