Journal of the Australian Mathematical Society ( IF 0.742 ) Pub Date : 2020-11-06 , DOI: 10.1017/s1446788720000439
ZHICHENG FENG; GUNTER MALLE

We establish the inductive blockwise Alperin weight condition for simple groups of Lie type $\mathsf C$ and the bad prime $2$ . As a main step, we derive a labelling set for the irreducible $2$ -Brauer characters of the finite symplectic groups $\operatorname {Sp}_{2n}(q)$ (with odd q), together with the action of automorphisms. As a further important ingredient, we prove a Jordan decomposition for weights.

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