Benjamin Sambale
Published 2018-07-22Version 1
We present a strong upper bound on the number k(B) of irreducible characters of a p-block B of a finite group G in terms of local invariants. More precisely, the bound depends on a chosen major B-subsection (u,b), its normalizer N_G(\langle u\rangle,b) in the fusion system and a weighted sum of the Cartan invariants of b. In this way we strengthen and unify previous bounds given by Brauer, Wada, K\"ulshammer--Wada, H\'ethelyi--K\"ulshammer--Sambale and the present author.
Restriction and induction for supercharacters of finite groups of triangular type
On the character ring of a finite group
On Picard groups of blocks of finite groups
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