Przemyslaw Koprowski, Instytut Matematyki, Uniwersytet Slaski, ul. Bankowa 14, PL-40-007 Katowice, Poland, e-mail: pkoprowski@member.ams.org
Abstract: We present criteria for a pair of maps to constitute a quaternion-symbol equivalence (or a Hilbert-symbol equivalence if we deal with global function fields) expressed in terms of vanishing of the Clifford invariant. In principle, we prove that a local condition of a quaternion-symbol equivalence can be transcribed from the Brauer group to the Brauer-Wall group.
Keywords: Brauer group, Brauer-Wall group, Witt equivalence
Classification (MSC 2000): 11E81, 11E10, 14H05, 14P05, 16K50
Full text available as PDF (smallest), as compressed PostScript (.ps.gz) or as raw PostScript (.ps).
Access to the full text of journal articles on this site is restricted to the subscribers of Myris Trade.
To activate your access, please contact Myris Trade at myris@myris.cz.
Subscribers of Springer need to access the articles on their site, which is http://www.springeronline.com/10587.
