Loewy lengths of centers of blocks II

Burkhard Külshammer, Yoshihiro Otokita, Benjamin Sambale

Let ZB be the center of a p-block B of a finite group with defect group D. We show that the Loewy length LL(ZB) of ZB is bounded by $\frac{|D|}{p}+p-1$ provided D is not cyclic. If…