Contents: 1. GROUPS AND SUBGROUPS 2. PERMUTATIONS, COSETS, AND DIRECT PRODUCTS 3. HOMOMORPHISMS AND FACTOR GROUPS 4. RINGS AND FIELDS 5. IDEALS AND FACTOR RINGS 6. EXTENSION FIELDS 7. ADVANCED GROUP THEORY 8. GROUPS IN TOPOLOGY 9. FACTORYZATION 10. AUTOMORPHISMS AND GALOIS THEORY