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J-Equivalence of group representations

Published online by Cambridge University Press:  24 October 2008

V. P. Snaith
V. P. Snaith
Affiliation:
Emmanuel College, Cambridge
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Extract

If G is a finite group of order N and ΓN is the Galois group of Q(w) over Q, where w is a primitive Nth root of unity then ΓN acts on the complex representation ring, R(G), of G. The group of co-invariants is denoted by R(G)ΓN = R(G)/W(G).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 9 - 14
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Atiyah, M. F. and Tall, D. O.Group representations, γ-rings aad the J-homomorphism. Topology (4) 8 (1969), 253–297.CrossRefGoogle Scholar
(2)Curtis, C. W. and Reiner, I.Representation theory of finite groups and associative algebras. (Interscience 1962).Google Scholar
(3)Hunter, J.Number theory. (Oliver and Boyd, 1964.)Google Scholar