The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Chapters
1. Introduction
2. Notation and preliminaries
3. Finite reductive groups
4. The group $F_4(q)$ and some of its Levi subgroups
5. The blocks of $F_4(q)$
6. Radical $3$-subgroups and defect groups of $F_4(q)$
7. Alperin's blockwise weight conjecture for $F_4(q)$
8. The action of the automorphism group on the set of weights
A. Tables
Jianbei An, The University of Auckland, New Zealand, Gerhard Hiss, RWTH Aachen University, Germany.
Frank Lubeck, RWTH Aachen University, Germany.
