Submission: 2005, Jul 18, revised 2007, Feb 2007
This article investigates the structure of quadratic forms and of division algebras of exponent two over fields of characteristic different from two with the property that the third power of the fundamental ideal in the associated Witt ring is torsion free.
2000 Mathematics Subject Classification: 11E04, 11E10, 11E81, 12D15, 12G10, 16K50, 16S35
Keywords and Phrases: central simple algebra, Merkurjev's theorem, quaternion algebra, quadratic form, Clifford invariant, Witt index, height, real field, stability index, virtual cohomological dimension, field invariants
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