Table of Contents

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.

Promotional Information

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

About the Author

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.

Reviews

'This is a well-written and motivated book, with carefully chosen topics, examples and exercises to engage the reader, making it suitable in the classroom or for self-study.' Felipe Zaldivar, MAA Reviews

'The author aims to provide a comprehensive but fastpaced grounding in results which can be applied to areas as diverse as number theory, combinatorics, topology or commutative algebra … While the proofs are rigorous, the style is relatively informal and designed to showcase as many results as possible which are applicable beyond the realms of \pure representation theory.' Stuart Martin, MathSciNet