Academic Catalog

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:
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.