Course: Galois Theory

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Course title Galois Theory
Course code KAG/ZA2
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study 1
Semester Summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Kühr Jan, prof. RNDr. Ph.D.
Course content
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.

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming)
Learning outcomes
Prerequisites
unspecified
KAG/ZA
----- or -----
KAG/ZA1

Assessment methods and criteria
Oral exam

Student should understand the topic and be able to solve practical tasks.
Recommended literature
  • Grillet P. A. (2007). Abstract algebra. Springer New York.
  • Chajda I. (2000). Vybrané kapitoly z algebry. PřF UP Olomouc.
  • Lang S. (2002). Algebra. Springer.
  • Stewart I. (2004). Galois theory. Chapman & Hall.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Teaching Training in Mathematics for Secondary Schools (2019) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer