Abstract Algebra with Maple Preface An Introduction to Maple Keyboard Shortcuts Colons and Semicolons, % sign Comments Exercises 0. Preliminaries Properties of Integers Modular Arithmetic Mathematical Induction Exercises 1. Introduction to Groups Cyclic and Dihedral Groups Cayley Tables Operations Exercises 2. Groups Groups U(n) Matrix Groups mod n Note. Group Definition Example 1. Theorem 1. Proof. Redefining of Groups Exercises 3. Finite Groups; Subgroups Orders of Elements Center and Centralizers Note. A Subgroup Test Exercises 4. Cyclic Groups Primitive Roots Elements of Order d Subgroup Lattice of Z[n]; Exercises. Supplement for Chapters 1 - 4 Subgroups Generated by a Few Elements Intersections and Products of Groups Is a Group Cyclic? Normalizers and Conjugacy Classes Group of Quaternions Exercises Selected Answers An Introduction to Maple 0. Preliminaries 1. Introduction to Groups 2. Groups 3. Finite Groups; Subgroups 4. Cyclic Groups Supplement for Chapters 1 - 4