1. GROUPS, SUBGROUPS, CYCLIC GROUPS, PERMUTATION GROUPS. 2. NORMAL SUBGROUPS, HOMOMORPHISMS, DIRECT AND SEMIDIRECT PRODUCTS, QUOTIENT GROUPS, ISOMORPHISM THEOREMS. 3. THE STRUCTURE THEOREM FOR FINITELY GENERATED ABELIAN GROUPS. 4. THE ACTION OF A GROUP ON A SET: ORBITS AND STABILIZERS, BURNSIDE'S LEMMA, CLASS EQUATION. P-GROUP AND SYLOW'S THEOREMS. 5. FREE GROUPS, THE SYMMETRIC GROUP, SIMPLE GROUPS AND AUTOMORPHISMS GROUPS.

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