Abstract
Let and ψ be regular quadratic forms over a field F of characteristic different from 2. We say that ψ is a quasisubform of if there is such that is a subform of . Let L/F be an odd degree field extension. Assume that ψL is a quasisubform of . A natural question is whether ψ is a quasisubform of . We give a positive answer to this question in any of the following cases: The 2-cohomological dimension of F equals 2. or and is even. and and where is the Pfister form associated with ψ (the most difficult case).
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