96
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On the 3-Pfister Number of Quadratic Forms

Pages 342-360 | Received 22 Apr 2011, Published online: 04 Jan 2013

REFERENCES

  • Arason , J. K. , Elman , R. , Jacob , B. ( 1987 ). Rigid elements, valuations and realization of Witt rings . J. Algebra 110 : 449 – 467 .
  • Brosnan , P. , Reichstein , Z. , Vistoli , A. ( 2010 ). Essential dimension, spinor groups, and quadratic forms . Ann. Math. 171 : 533 – 544 .
  • Efrat , I. ( 2006 ). Valuations, Orderings, and Milnor K-Theory . Mathematical Surveys and Monographs . Vol. 124 , American Mathematical Society , Providence , RI .
  • Hoffmann , D. , Tignol , J.-P. ( 1998 ). On 14-dimensional quadratic forms in I 3, 8-dimensional forms in I 2, and the common value property . Doc. Math. 3 : 189 – 214 .
  • Lam , T. Y. ( 2005 ). Introduction to Quadratic Forms Over Fields . Graduate Studies in Mathematics , Vol. 67 , American Mathematical Society , Providence , RI .
  • Milnor , J. ( 1970 ). Algebraic K-theory and quadratic forms . Invent. Math. 9 : 318 – 344 .
  • Parimala , R. , Suresh , V. , Tignol , J.-P. ( 2009 ). On the Pfister number of quadratic forms . Quadratic Forms—Algebra, Arithmetic, and Geometry, Contemp. Math. 493 : 327 – 338 .
  • Pfister , A. ( 1966 ). Quadratische Formen in beliebigen Körpern . Invent. Math. 1 : 116 – 132 .
  • Wadsworth , A. ( 1983 ). p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings . Pacific J. Math. 105 : 473 – 496 .
  • Ware , R. ( 1981 ). Valuation rings and rigid elements in fields . Canad. J. Math. 33 : 1338 – 1355 .
  • Communicated by A. Wadsworth.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.