Division algebras of exponent 2 and characteristic 2 (Q799780)
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scientific article; zbMATH DE number 3873539
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Division algebras of exponent 2 and characteristic 2 |
scientific article; zbMATH DE number 3873539 |
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Division algebras of exponent 2 and characteristic 2 (English)
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1984
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The author continues Streb's investigation, proving the following results in characteristic 2: Any simple algebra R of degree 8 and exponent 2 has a maximal subfield Galois over the center with Galois group \(Z_ 2\times Z_ 2\times Z_ 2\), and \(M_ 2(R)\) is a tensor product of quaternions (theorem 1 and theorem 2). Moreover, there is a division algebra of degree 8 and exponent 2 which is not a tensor product of quaternions.
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characteristic 2
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simple algebra
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degree 8
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Galois group
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tensor product of quaternions
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