Relations in In and In Wq in characteristic 2

Jón Kr Arason*, Ricardo Baeza

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let 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 In Wq (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.

Original languageEnglish
Pages (from-to)895-911
Number of pages17
JournalJournal of Algebra
Volume314
Issue number2
DOIs
Publication statusPublished - 15 Aug 2007

Other keywords

  • Characteristic 2
  • Quadratic forms
  • Symmetric bilinear forms

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