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Title
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Transfer of quadratic forms and of quaternion algebras over quadratic field extensions
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Author
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Abstract
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| Two different proofs are given showing that a quaternion algebra Q defined over a quadratic ,tale extension K of a given field has a corestriction that is not a division algebra if and only if Q contains a quadratic algebra that is linearly disjoint from K. This is known in the case of a quadratic field extension in characteristic different from two. In the case where K is split, the statement recovers a well-known result on biquaternion algebras due to Albert and Draxl. |
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Language
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English
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Source (journal)
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Archiv der Mathematik. - Basel, 1948, currens
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Publication
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Basel
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2018
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ISSN
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0003-889X
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Volume/pages
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111
:2
(2018)
, p. 135-143
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ISI
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000439318000004
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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