kirill@mathematik.uni-bielefeld.de

Submission: 2003, Apr 25, revised: May 14

We prove the version of Knebusch's Norm principle for simple extensions of semi-local rings. As an application we prove the Grothendieck-Serre's conjecture on principal homogeneous spaces for the split case of the spinor group.

2000 Mathematics Subject Classification: 11E08

Keywords and Phrases: Norm principle, quadratic form, local ring

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