MATH769 AN INTRODUCTION TO COMPUTATIONAL GROUP THEORY
Course Code: |
2360769 |
METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
ECTS Credit: |
6.0 |
Department: |
Mathematics |
Language of Instruction: |
English |
Level of Study: |
Graduate |
Course Coordinator: |
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Offered Semester: |
Fall or Spring Semesters. |
Course Content
A short introduction to GAP. Group actions. Orbits and stabilizers. Stabilizer chains and their computation. The Schreier-Sims algorithm. Backtrack. Natural actions and decompositions. Primitive groups. Computing a composition series. Factor groups. Conjugacy classes. Complements. Subgroups. Maximal subgroups.