Geodesic
Derivations in central separable algebras
Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 75-77

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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. 
Georgantas, George T. Derivations in central separable algebras. Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 75-77. doi: 10.1017/S0017089500003402
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