Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Fundamental definitions and theorem of group theory Review of the relevant pages from sources
2 Some special groups and group construction Review of the relevant pages from sources
3 Permutation groups and counting its elements Review of the relevant pages from sources
4 Symmetry groups Review of the relevant pages from sources
5 Normal subgroups and their properties Review of the relevant pages from sources
6 Quotient groups Review of the relevant pages from sources
7 Counting with groups Review of the relevant pages from sources
8 Mid term Exam Review and Problem Solving
9 Isomorphism theorems Review of the relevant pages from sources
10 Examples of using isomorphism theorems Review of the relevant pages from sources
11 Group actions Review of the relevant pages from sources
12 Simple groups Review of the relevant pages from sources
13 Sylow Theorems and their applications Review of the relevant pages from sources
14 Classification groups of small order up to isomorphism Review of the relevant pages from sources
15 Classification groups of small order up to isomorphism Review of the relevant pages from sources
16-17 Final Exam Review and Problem Solving

Recommended or Required Reading
TextbookC. F. Gardiner ´´ A first course in group theory´´ Springer - Verlag, New York Inc. 1980
J.J. Rotman, ´A first course in abstract algebra´ Second Edition, Prentice Hall, 2000.
Additional Resources