Block extensions

zbMath0352.20008MaRDI QIDQ1235763

Everett C. Dade

Publication date: 1973

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Modular representations and characters (20C20) Integral representations of finite groups (20C10)

Related Items (40)

Structure of blocks with normal defect and abelian inertial quotient ⋮ On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups ⋮ A modular absolute bound condition for primitive association schemes ⋮ An analogue of the p-regular core for p-blocks of finite groups ⋮ The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes ⋮ Representations of finite groups ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Donovan's conjecture, crossed products and algebraic group actions ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ Invariant constituents and invariant blocks under coprime action ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ Extensions of Rickard equivalences. ⋮ Character triples and equivalences over a group graded \(G\)-algebra ⋮ Simple proofs of some theorems in block theory of finite groups. ⋮ On some \(S_R(H)\)-blocks for the symmetric groups. ⋮ On the Clifford theory of blocks of characters ⋮ The equivalence of various generalizations of group rings and modules ⋮ Normal subrings and induced representations ⋮ The Green correspondents of simple group modules ⋮ Derived equivalences and Dade's invariant conjecture ⋮ Strong fusion control and stable equivalences. ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ Defect theory for maximal ideals and simple functors ⋮ On the inductive Alperin-McKay condition for simple groups of type \(\mathsf A\). ⋮ Blockwise relations between triples, and derived equivalences for wreath products ⋮ On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups. ⋮ A reduction theorem for Dade's projective conjecture ⋮ The representation theory of fully group-graded algebras ⋮ Natural Morita equivalences of degree \(n\). ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ Remarks on isomorphic blocks ⋮ Classifying blocks with abelian defect groups of rank 3 for the prime 2 ⋮ The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups. ⋮ A natural Morita equivalence reduction for some blocks of G-crossed product O-lattices and applications to the Clifford theory of finite group modular representation theory ⋮ Representations of finite association schemes ⋮ On minimal vertices and the degrees of irreducible characters ⋮ Group graded basic Morita equivalences and the Harris-Knörr correspondence ⋮ The Glauberman character correspondence and perfect isometries for blocks of finite groups ⋮ Clifford theory of characters in induced blocks ⋮ Families of characters of cyclotomic Hecke algebras.

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