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Title
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Involutions and stable subalgebras
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Author
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Abstract
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| Given a central simple algebra with, involution over an arbitrary field, stable subalgebras contained in the space of symmetric elements are investigated. The method emphasizes the similarities between the various types of involutions and privileges a unified treatment for all characteristics whenever possible. As a consequence a conceptual proof of a theorem of Rowen is obtained, which asserts that every division algebra of exponent two and degree eight contains a maximal subfield that is a triquadratic extension of the centre. (C) 2017 Elsevier Inc. A ll rights reserved. |
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Language
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English
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Source (journal)
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Journal of algebra. - New York, N.Y., 1964, currens
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Publication
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New York, N.Y.
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Academic Press
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2018
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ISSN
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0021-8693
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DOI
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10.1016/J.JALGEBRA.2017.09.026
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Volume/pages
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493
(2018)
, p. 381-409
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ISI
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000415030600018
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Full text (Publisher's DOI)
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