Mapping Galois Extensions Into Division Algebras

Nikolaus Vonessen
1993 Proceedings of the American Mathematical Society  
Let A be a ring with a finite group of automorphisms G , and let fx and fi be homomorphisms from A into some division algebra D such that fx and f2 agree on the fixed ring AG . Assuming certain additional assumptions, it is shown that fx and f2 differ only by an automorphism in G and an inner automorphism of D.
doi:10.2307/2159966 fatcat:lnvumm2rknhcdp4exszoieh5je