Mapping galois extensions into division algebras

Nikolaus Vonessen

doi:10.1090/S0002-9939-1993-1160306-4

Mapping galois extensions into division algebras

Nikolaus Vonessen

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Let A be a ring with a finite group of automorphisms G , and let f₁ and f₂ be homomorphisms from A into some divisionalgebra D such that f₁ and f₂ agree on thefixed ring A^G . Assuming certain additional assumptions, it is shown that f₁ and f₂ differ only by an automorphism in G and aninner automorphism of D.

Original language	English
Pages (from-to)	1061-1068
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	119
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1993-1160306-4
State	Published - Dec 1993

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title = "Mapping galois extensions into division algebras",

abstract = "Let A be a ring with a finite group of automorphisms G , and let f1 and f2 be homomorphisms from A into some divisionalgebra D such that f1 and f2 agree on thefixed ring AG . Assuming certain additional assumptions, it is shown that f1 and f2 differ only by an automorphism in G and aninner automorphism of D.",

author = "Nikolaus Vonessen",

year = "1993",

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doi = "10.1090/S0002-9939-1993-1160306-4",

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N2 - Let A be a ring with a finite group of automorphisms G , and let f1 and f2 be homomorphisms from A into some divisionalgebra D such that f1 and f2 agree on thefixed ring AG . Assuming certain additional assumptions, it is shown that f1 and f2 differ only by an automorphism in G and aninner automorphism of D.

AB - Let A be a ring with a finite group of automorphisms G , and let f1 and f2 be homomorphisms from A into some divisionalgebra D such that f1 and f2 agree on thefixed ring AG . Assuming certain additional assumptions, it is shown that f1 and f2 differ only by an automorphism in G and aninner automorphism of D.

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Mapping galois extensions into division algebras

Abstract

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