MATH 613 - Group Theory

G-sets. Orbits and stabilizers. Orbit decomposition formula. Permutation groups. Alternating groups. Simple groups. Composition series. Jordan-Holder Theorem. The Sylow Theorems. Fundamental theorem of abelian groups. Solvable and nilpotent groups.

Prerequisites
Prereq: 513A; no credit if 613A.

Credits: 5

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