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Field Extensions and Galois Theory: Course Outline (MAT-608 )

In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory

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Course Outline

Field extensions, the fundamental theorem. Splitting fields and algebraic closure, Finite fields, Separability, Cyclic, Cyclotomic, and Radical extensions. Structure of fields: Transcendence bases. ​

 

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