ALGEBRA AND APPLICATIONS

By X. MARID

1: Preliminaries 1 2: The Integers 26 3: Groups 43 4: Cyclic Groups 70 5: Permutation Groups 94 6: Cosets and Lagrange's Theorem 114 7: Introduction to Cryptography 129 8: Algebraic Coding Theory 144 9: Isomorphisms 176 10: Normal Subgroups and Factor Groups 196 11: Homomorphisms 210 12: Matrix Groups and Symmetry 225 13: The Structure of Groups 245 14: Group Actions 264