A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

Markus Linckelmann is a Professor in the Department of Mathematics at City, University of London.

Introduction; 6. Blocks and source algebras; 7. Modules over finite p-groups; 8. Local structure; 9. Isometries and bimodules; 10. Structural results in block theory; 11. Blocks with cyclic defect groups; 12. Blocks with Klein four defect groups; Appendix; References; Index.