Abstract

Baeza showed that when char(F)=2 if E/F is the separable biquadratic extension E=F[℘−1(b1),℘−1(b2)], thenker[Wq(F)→Wq(E)]=WF⋅[1,b1]+WF⋅[1,b2]. Here we give the analogous result for the graded Witt group. Specifically we obtain an exact sequence νF(n,1)⊕νF(n,1)→H2n+1F→H2n+1E from which the result for GWqF follows by the isomorphisms of Kato. Applications to 2-algebras of exponent and index 4 are also given.

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