Graded monoidal categories were introduced by Frohlich and C.T.C. ̈ Wall in 8 , where they presented a suitable abstract setting to study the Brauer group in equivariant situations. This paper is concerned with the analysis and classification of these graded monoidal categories, following a parallel treatment to that made in 2 for the non-monoidal case. In any graded monoidal category, its 1-com...

INFINITE LOCALLY FINITE GROUPS OF TYPE PSL(2, K) OR Sz(K) ARE NOT MINIMAL UNDER CERTAIN CONDITIONS JAVIER OTAL AND JUAN MANUEL PENA In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration . We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simpl...

We generalize graded Hecke algebras to include a twisting twococycle for the associated finite group. We give examples where the parameter spaces of the resulting twisted graded Hecke algebras are larger than that of the graded Hecke algebras. We prove that twisted graded Hecke algebras are particular types of deformations of a crossed product.