JOURNAL ARTICLE
A Note on the Quaternion Group as Galois Group
Year: 1990 Journal: Proceedings of the American Mathematical Society Vol: 108 (3)Pages: 621-621 Publisher: American Mathematical Society
Abstract
The occurrence of the quaternion group as a Galois group over certain fields is investigated. A theorem of Witt on quaternionic Galois extensions plays a key role.
Keywords:
Galois group Quaternion Group (periodic table) Mathematics Galois module Quaternion group Galois cohomology Pure mathematics Differential Galois theory Galois theory Fundamental theorem of Galois theory Galois extension Algebra over a field Symmetric group Physics Alternating group Geometry
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Citation History
Topics
Mathematics and Applications
Physical Sciences → Mathematics → Geometry and Topology
Algebraic and Geometric Analysis
Physical Sciences → Mathematics → Applied Mathematics
History and Theory of Mathematics
Physical Sciences → Mathematics → Theoretical Computer Science
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