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Last update: G_M (15.05.2012)
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Last update: doc. RNDr. David Stanovský, Ph.D. (21.09.2023)
Credit will be awarded for succesfully solving several homework sets (see web for details). |
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Last update: doc. RNDr. David Stanovský, Ph.D. (21.09.2023)
primary: Joseph J. Rotman: An Introduction to the Theory of Groups, Springer, New York, 1995.
secondary: Aleš Drápal: Teorie grup : základní aspekty, Karolinum, Praha, 2000. Derek J.S. Robinson: A Course in the Theory of Groups, Springer, New York, 1982. M. Hall: The Theory of Groups, Macmillan Company, New York, 1959. I.Martin: Isaacs, Finite group theory, American Mathematical Society, Providence, 2008. L. Procházka, L. Bican, T. Kepka, P. Němec: Algebra, Academia, Praha, 1990. |
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Last update: doc. RNDr. David Stanovský, Ph.D. (21.09.2023)
Students have to pass final written exam. The requirements for the exam correspond to what has been done during lectures and practicals. For details see the website. |
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Last update: doc. RNDr. David Stanovský, Ph.D. (21.09.2023)
1. Basic structural features (subgroups, homomorphisms, products)
2. Group actions on a set, on itself.
4. The structure of finite groups (class equation, p-groups, Sylow theorems)
5. Subnormal series (Zassenhaus lemma, Jordan-Holder theorem, solvability, nilpotence)
6. Abelian groups - free abelian groups, finitely generated abelian groups
7. Free groups, Nielsen-Schreier theorem. |