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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Mapping Galois extensions into division algebras


Author: Nikolaus Vonessen
Journal: Proc. Amer. Math. Soc. 119 (1993), 1061-1068
MSC: Primary 16W20; Secondary 12E15, 13B05, 16K99
MathSciNet review: 1160306
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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$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1160306-4
PII: S 0002-9939(1993)1160306-4
Article copyright: © Copyright 1993 American Mathematical Society