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Lecturer(s)
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Kühr Jan, prof. RNDr. Ph.D.
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Course content
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Algebraic extensions and algebraic closures of fields. Straightedge and compass constructions. Galois extensions, Galois groups. Normal series and solvable groups. Cyclic and radical extensions. Solvability of equations in radicals.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam
Student should understand the topic and be able to solve practical tasks.
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Recommended literature
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Grillet P. A. (2007). Abstract algebra.
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Chajda I. (2000). Vybrané kapitoly z algebry. Olomouc.
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Lang S. (2002). Algebra.
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Stewart I. (2004). Galois theory. Chapman & Hall.
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