Contents: I GROUPS AND SUBGROUPS 1 Introduction and examples 2 Binary operations 3 Isomorphic binary structure 4 Groups 5 Subgroups 6 Cyclic groups 7 Generating sets and cayley digraphs II PERMUTATIONS, COSETS, AND DIRECT PRODUCTS 8 Group of permutations 9 Orbits, cycles and the alternating groups 10 Cosets and the theorem of lagrange 11 Direct products and finitely ge…