Speaker: Ruwen Hollenbach (Kaiserslautern)
Title: Quasi-Isolated Blocks of Finite Groups of Lie Type
Abstract:
In a recent paper G. Malle and G. Robinson proposed a modular analogue to the \(k(B)\)-conjecture. If \(B\) is a \(p\)-block with defect group \(D\), then they conjecture that \(l(B) \leq p^r\), where \(r\) is the sectional \(p\)-rank of \(D\). We discuss recent progress on this conjecture for finite groups of Lie type.