Relations in I-n and (IWq)-W-n in characteristic 2

Abstract

Baeza, R. Instituto de Matemáticas, Universidad de Talca, Casilla 721, Talca, ChileLet K be a field of characteristic 2. We give natural presentations of the subgroups In(K) of the Witt ring W(K) of K and the subgroups InWq(K) of the Witt group Wq(K) of K. Our results generalize the results of Arason and Elman in [J.K. Arason, R. Elman, Powers of the fundamental ideal in the Witt ring, J. Algebra 239 (2001) 150–160], where the characteristic is assumed to be different from 2