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On fields of u-invariant 4

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Abstract.

This note is motivated by the problem of determining the u-invariant of a field F of characteristic different from two when it is known that \(u\left( {F\left( {\sqrt { - 1} } \right)} \right) = 4.\) A criterion is given to decide whether u(F) ≤ 4 in this situation.

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Correspondence to Karim Johannes Becher.

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Received: 25 February 2005

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Becher, K.J. On fields of u-invariant 4. Arch. Math. 86, 31–35 (2006). https://doi.org/10.1007/s00013-005-1491-y

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  • DOI: https://doi.org/10.1007/s00013-005-1491-y

Mathematics Subject Classification (2000).

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