Defect groups of tensor modules

Blockwise relations between triples, and derived equivalences for wreath products

“…We will need certain properties of tensor products of algebras endowed with group actions or group gradings. We rely on the results of Harris [4,5], which extend the results of Külshammer [8], and of Alghamdi and Khammash [1].…”

Brauer-Fitting correspondence on tensor algebra

“…His results were generalized by M. Harris [2] who considered the tensor product of lattices and modules over local rings. Alghamdi and Khammash [1] investigated the tensor product of G-algebras as well as tensor product of the Brauer homomorphisms. Khammash [7] studied the points, pointed groups and the notion of the defect group in tensor product of G-algebras.…”