Külshammer, Burkhard Morita equivalent blocks in Clifford theory of finite groups. (English) Zbl 0725.20006 Représentations linéaires des groupes finis, Proc. Colloq., Luminy/Fr. 1988, Astérisque 181-182, 209-215 (1990). [For the entire collection see Zbl 0699.00023.] Let F be an algebraically closed field of characteristic \(p>0\) and K be a normal subgroup of a finite group H, let B be a block (subalgebra) of FK and A be a block of FH covering B, i.e. \(1_ A1_ B\neq 0\). A and B are called “naturally Morita equivalent”, if there exists a simple F- subalgebra S of A such that the algebra \(1_ AB\otimes_ FS\) is naturally isomorphic to A. The author gives necessary and sufficient conditions for this type of Morita equivalence. Reviewer: W.Müller (Bayreuth) Cited in 2 ReviewsCited in 11 Documents MSC: 20C20 Modular representations and characters 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 16D90 Module categories in associative algebras Keywords:Clifford theory; finite group; block; simple F-subalgebra; Morita equivalence Citations:Zbl 0699.00023 PDFBibTeX XML