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Isomorphisms and Automorphisms of Witt Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
For a field F, char(F) ≠ 2, let WF denote the Witt ring of quadratic forms of F and let denote the multiplicative group of 1-dimensional forms It follows from a construction of D. K. Harrison that if E, F are fields (both of characteristic ≠ 2) and ρ.WE → WF is a ring isomorphism, then there exists a ring isomorphism which “preserves dimension” in the sense that In this paper, the relationship between ρ and is clarified.
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- Copyright © Canadian Mathematical Society 1988
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