Inductive Blockwise Alperin Weight Condition for the Chevalley Groups $F_4(q)$

Jianbei An, The University of Auckland, New Zealand, Gerhard Hiss, RWTH Aachen University, Germany.Frank Lubeck, RWTH Aachen University, Germany.

• Chapters1. Introduction2. Notation and preliminaries3. Finite reductive groups4. The group $F_4(q)$ and some of its Levi subgroups5. 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 weightsA. Tables