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A note on blocks of modular representations

Published online by Cambridge University Press:  24 October 2008

Bhama Srinivasan
Bhama Srinivasan
Affiliation:
University of Keele, Staffordshire
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Extract

1. The notation used will be that of (2).

G is a finite group,

is a ring which is either

(1·1) a field of characteristic p, or

(1·2) the ring of valuation integers of a field of characteristic 0 with a complete discrete valuation. In this case, is the maximal ideal of .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 2 , April 1964 , pp. 179 - 182
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Brauer, R.Zur Darstellungstheorie der Gruppen endlicher Ordnung II. Math. Z. 72, (1959), 25–46.CrossRefGoogle Scholar
(2)Green, J. A.Blocks of modular representations. Math. Z. 79 (1962), 100–115.CrossRefGoogle Scholar
(3)Osima, M.Notes on blocks of group characters. Math. J. Okayama, 4 (1955), 175–188.Google Scholar
(4)Rosenberg, A.Blocks and centres of group algebras. Math. Z. 76 (1961), 209–216.CrossRefGoogle Scholar