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Division algebras of degree 4 and 8 with involution

โœ Scribed by S. A. Amitsur; L. H. Rowen; J. P. Tignol


Book ID
112885343
Publisher
The Hebrew University Magnes Press
Year
1979
Tongue
English
Weight
678 KB
Volume
33
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES


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Let D be a division algebra of degree 3 over its center K and let J be an involution of the second kind on D. Let F be the subfield of K of elements invariant under J, char F / 3. We present a simple proof of a theorem of A. Albert on the existence of a maximal subfield of D which is Galois over F w

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The centers of the generic central simple algebras with involution are interesting objects in the theory of central simple algebras. These fields also arise as invariant fields for linear actions of projective orthogonal or symplectic groups. In this paper, we prove that when the characteristic is n