We give a classification, up to Morita equivalence, of 2-blocks of quasi-simple groups with
abelian defect groups. As a consequence, we show that Donovanʼs conjecture holds for …

We give a reduction to quasisimple groups for Donovan's conjecture for blocks with abelian
defect groups defined with respect to a suitable discrete valuation ring O O. Consequences …

Let $\ell $ be a prime number. We show that the Morita Frobenius number of an $\ell $-block
of a quasi-simple finite group is at most $4 $ and that the strong Frobenius number is at most …

Donovan’s conjecture and blocks with abelian defect groups Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 3, March 2019, Pages 963–970 …

Let k be an algebraically closed field of characteristic p. We give a general method for
producing examples of blocks B of finite group algebras that are not Morita equivalent as k …

In this paper we classify all blocks with defect group C 2 n× C 2× C 2 up to Morita
equivalence. Together with a recent paper of Wu, Zhang and Zhou, this completes the …

We define a new invariant for a p-block of a finite group, the strong Frobenius number, which
we use to address the problem of reducing Donovan's conjecture to normal subgroups of …

We show that the Morita Frobenius number of the blocks of the alternating groups, the finite
groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also …

Let 𝐺 be one of the sporadic simple Mathieu groups M 11, M 12, M 22, M 23 or M 24, and
suppose 𝑘 is an algebraically closed field of prime characteristic 𝑝, dividing the order of 𝐺 …

Let be an algebraically closed field of characteristic, and let be either or its ring of Witt
vectors. Let be a finite group and a block of with normal abelian defect group and abelian …