Mapping Galois extensions into division algebras
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- by Nikolaus Vonessen PDF
- Proc. Amer. Math. Soc. 119 (1993), 1061-1068 Request permission
Abstract:
Let $A$ be a ring with a finite group of automorphisms $G$, and let ${f_1}$ and ${f_2}$ be homomorphisms from $A$ into some division algebra $D$ such that ${f_1}$ and ${f_2}$ agree on the fixed ring ${A^G}$. Assuming certain additional assumptions, it is shown that ${f_1}$ and ${f_2}$ differ only by an automorphism in $G$ and an inner automorphism of $D$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1061-1068
- MSC: Primary 16W20; Secondary 12E15, 13B05, 16K99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1160306-4
- MathSciNet review: 1160306