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Grothendieck groups of quadratic forms and G-equivalence of fields

Published online by Cambridge University Press:  24 October 2008

K. Szymiczek
K. Szymiczek
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge and Silesian University, Katowice, Poland
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Extract

Let k be a field of characteristic other than 2 and let g(k) denote the multiplicative group k* of the field k modulo squares, i.e. g(k) = k*/k*2. This is an abelian group of exponent 2 and its order, if finite, is a power of 2. We denote by G(k) the Grothendieck group of quadratic forms over k.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 29 - 36
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

REFERENCES

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