TY - BOOK AU - Puig, Luis TI - Blocks of finite groups: the hyperfocal subalgebra of a block SN - 9783540435143 U1 - 512.23 PY - 2002/// CY - New York PB - Springer KW - Blocks KW - Group theory KW - Finite groups KW - Mathematics N1 - 1. Introduction -- 2. Lifting Idempotents -- 3. Points of the O-algebras and Multiplicity of the Points -- 4. Divisors on N-interior G-algebras -- 5. Restriction and Induction of Divisors -- 6. Local Pointed Groups on N-interior G-algebras -- 7. On Green's Indecomposability Theorem -- 8. Fusions in N-interior G-algebras -- 9. N-interior G-algebras through G-interior Algebras -- 10. Pointed Groups on the Group Algebra -- 11. Fusion Z-algebra of a Block -- 12. Source Algebras of Blocks -- 13. Local Structure of the Hyperfocal Subalgebra -- 14. Uniqueness of the Hyperfocal Subalgebra -- 15. Existence of the Hyperfocal Subalgebra -- 16. On the Exponential and Logarithmic Functions in O-algebras ER -