The cyclicity problem for Albert algebras (Q2022774)

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The cyclicity problem for Albert algebras
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    The cyclicity problem for Albert algebras (English)
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    29 April 2021
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    The article is devoted to the following A. A. Albert's problem (1965) [Pac. J. Math. 15, 377--404 (1965; Zbl 0135.07202)]: whether every Albert division algebra (of characteristic not 2 or 3) contains a cyclic cubic subfield. In the present article the author shows that every Albert division algebra has an isotope that contains a cyclic cubic subfield.
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    Albert division algebra
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    isotope
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    cyclic cubic subfield
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