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Derivations in central separable algebras

Published online by Cambridge University Press:  18 May 2009

George T. Georgantas
George T. Georgantas
Affiliation:
Department of Mathematics, Rochester Institute of Technology, 1 Lomb Memorial Drive, Rochester, New York 14623
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Given N a finite separable normal extension of a field F, it is well known that the Brauer group Br(N/F) of classes of central simple F-algebras split by N is isomorphic with Ext(N*, G), the classes of group extensions of N* by the Galois group G of N over F. In the construction of this isomorphism, a key role is played by the Skolem-Noether Theorem which extends automorphisms to inner automorphisms in central simple algebras.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 19 , Issue 1 , January 1978 , pp. 75 - 77
Copyright
Copyright © Glasgow Mathematical Journal Trust 1978

References

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