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Division algebras with no common subfields

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Abstract

An example is given of division algebrasD 1 andD 2 of odd prime degreep over a fieldK such thatD 1 andD 2 have no common subfield properly containingF, butD ⊗i1 ⊗ K D 2 is not a division algebra for 1≤i≤p−1.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Santa Barbara, 93106, Santa Barbara, CA, USA

    Bill Jacob

  2. Department of Mathematics, University of California at San Diego, 9500 Gilman Drive, 92093-0112, La Jolla, CA, USA

    Adrian R. Wadsworth

Authors
  1. Bill Jacob
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  2. Adrian R. Wadsworth
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Correspondence to Bill Jacob.

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Supported in part by the NSF.

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Jacob, B., Wadsworth, A.R. Division algebras with no common subfields. Israel J. Math. 83, 353–360 (1993). https://doi.org/10.1007/BF02784062

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  • DOI: https://doi.org/10.1007/BF02784062

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