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A note on involutary division algebras of the second kind

Published online by Cambridge University Press:  26 February 2010

C. J. Bushnell
Affiliation:
University of London King's College, Strand, London WC2R 2LS.
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Extract

Let L/K be a quadratic extension of algebraic number fields, and D a central L-division algebra of finite L-dimension d2. If - is an involution (i.e., a ring antiautomorphism of period two) of D, we write S(-) for the set of - symmetric elements of D:

MSC classification

Type
Research Article
Copyright
Copyright © University College London 1977

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References

1.Albert, A. A.. Structure of.Algebras (A.M.S. Colloquium Publications XXIV, Providence R.I., 1961).Google Scholar
2.Artin, E. and Tate, J. T.. Class Field Theory (Benjamin, New York, 1967).Google Scholar
3.Cassels, J. W. S. and Fröhlich, A.. Algebraic Number Theory (Academic Press, London, 1967).Google Scholar
4.Fröhlich, A.. “Symplectic local constants and Hermitian Galois module structure”. (Proceedings of an International Symposium on algebraic number theory, Kyoto, 1976. To appear.)Google Scholar
5.Kneser, M.. Lectures on the Galois cohomology of the classical groups. (Tata Institute of Fundamental Research, Bombay, 1969).Google Scholar
6.Weil, A.. Basic Number Theory (Springer-Verlag, Berlin, 1968).Google Scholar