Results on Witt kernels of quadratic forms for multi-quadratic extensions

Aravire, Roberto; Laghribi, Ahmed

doi:10.1090/S0002-9939-2013-11730-2

Results on Witt kernels of quadratic forms for multi-quadratic extensions
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by Roberto Aravire and Ahmed Laghribi

Proc. Amer. Math. Soc. 141 (2013), 4191-4197

DOI: https://doi.org/10.1090/S0002-9939-2013-11730-2

Published electronically: August 22, 2013

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Abstract:

In this paper we compute the Witt kernel of quadratic forms for the composition of a purely inseparable multi-quadratic extension with a separable quadratic extension. We also include the case of a multi-quadratic purely inseparable extension by completing the proof given before by the second author for such an extension.

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