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Division algebra counterexamples of degree 8

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Abstract

An example is given of a non-crossed product of degree 8 and exponent 4. On the other hand, every division algebra of degree 8 (arbitrary exponent) has a solvable splitting field; other positive results are also given.

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Authors and Affiliations

  1. Bar-Ilan University, Ramat Gan, Israel

    Louis H. Rowen

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  1. Louis H. Rowen
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The research of the author is supported by the Anshel Pfeffer Chair.

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Rowen, L.H. Division algebra counterexamples of degree 8. Israel J. Math. 38, 51–57 (1981). https://doi.org/10.1007/BF02761848

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  • DOI: https://doi.org/10.1007/BF02761848

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