This classroom-tested graduate text provides a thorough grounding in the representation theory of finite groups over fields and rings.

Peter Webb is Professor of Mathematics at the University of Minnesota. His research interests focus on the interactions between group theory and other areas of algebra, combinatorics, and topology. In 1988, he was awarded a Whitehead Prize of the London Mathematical Society.

1. Representations and Maschke's theorem; 2. Algebras with semisimple modules; 3. Characters; 4. Construction of characters; 5. Theorems of Mackey and Clifford; 6. p-groups and the radical; 7. Projective modules for algebras; 8. Projective modules for group algebras; 9. Splitting fields and the decomposition map; 10. Brauer characters; 11. Indecomposable modules; 12. Blocks.