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Title
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A bound on the index of exponent-4 algebras in terms of the u-invariant
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Author
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Abstract
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| For a prime number p, an integer e >= 2 and a field F containing a primitive p(e)-th root of unity, the index of central simple F-algebras of exponent p(e) is bounded in terms of the p-symbol length of F. For a nonreal field F of characteristic different from 2, the index of central simple algebras of exponent 4 is bounded in terms of the u-invariant of F. Finally, a new construction for nonreal fields of u-invariant 6 is presented. |
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Language
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English
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Source (journal)
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New York journal of mathematics. - New York, N.Y.
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Publication
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New York, N.Y.
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2023
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ISSN
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1076-9803
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Volume/pages
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29
(2023)
, p. 1273-1286
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ISI
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001123741100001
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Full text (open access)
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