A fusion system over a p-group S is a category whose objects form the set of all subgroups
of S, whose morphisms are certain injective group homomorphisms, and which satisfies …

Given a dihedral 2-group P of order at least 8, we classify the splendid Morita equivalence
classes of principal 2-blocks with defect groups isomorphic to P. To this end we construct …

We prove that splendid Morita equivalences between principal blocks of finite groups with
dihedral Sylow 2-subgroups realised by Scott modules can be lifted to splendid Morita …

Let k be an algebraically closed field of prime characteristic p, G a finite group and P a p-
subgroup of G. We investigate the relationship between the fusion system FP (G) and the …

We discuss representations of finite groups having a common central 𝑝-subgroup 𝑍, where
𝑝 is a prime number. For the principal 𝑝-blocks, we give a method of constructing a relative …

Nontriviality of the first Hochschild cohomology of some block algebras of finite groups -
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Let p be a prime number, G be a finite group, P be ap-subgroup of G, and k be an
algebraically closed field of characteristic p. We prove that the k G-Scott module with vertex …

Let be an algebraically closed field of prime characteristic, and let be a-subgroup of a finite
group. We give sufficient conditions for the-Scott module with vertex to remain …

We present a sufficient condition for the is a prime) is one of the key steps in order to obtain
a splendid stable equivalence of Morita type by making use of the gluing method due to …

We give a handy way to have a situation that the k G-Scott module with vertex P remains
indecomposable under taking the Brauer construction for any subgroup Q of P as k [QCG …