Isomorphic blocks

DOI10.1016/0021-8693(76)90135-6zbMath0367.20006OpenAlexW4213348966MaRDI QIDQ1242202

J. L. Alperin

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90135-6

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (42)

Relevés d'Isotypies de Sp(4, F_q) PourqImpair ⋮ A module-theoretic interpretation of some character formula ⋮ Characters and Sylow 2-subgroups of maximal class revisited ⋮ Conjectures of Donovan and Puig for Principal 3-Blocks with Abelian Defect Groups ⋮ Brauer's height zero conjecture for the 2-blocks of maximal defect ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Brauer correspondent blocks with one simple module ⋮ 2-Brauer correspondent blocks with one simple module ⋮ Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups. ⋮ Trivial intersection of blocks and nilpotent subgroups ⋮ Principal blocks for different primes. I ⋮ Principal blocks for different primes. II ⋮ Twisted group algebras and Clifford extensions ⋮ Brauer's height zero conjecture for two primes ⋮ Height zero conjecture with Galois automorphisms ⋮ Invariant constituents and invariant blocks under coprime action ⋮ SIMPLE MODULES IN THE AUSLANDER–REITEN QUIVER OF PRINCIPAL BLOCKS WITH ABELIAN DEFECT GROUPS ⋮ Brauer's height zero conjecture for two primes holds true ⋮ Principal blocks with distinct character degrees ⋮ Galois action on the principal block and cyclic Sylow subgroups ⋮ Height zero characters in principal blocks ⋮ Perverse equivalences and Broué's conjecture. ⋮ On the Clifford theory of blocks of characters ⋮ Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups. ⋮ The principal \(3\)-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic ⋮ Brauer's height zero conjecture for principal blocks ⋮ On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups. ⋮ Splendid Morita equivalences for principal blocks with semidihedral defect groups ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9 ⋮ Remarks on isomorphic blocks ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups ⋮ Isometries and extra special Sylow groups of order \(p^3\). ⋮ Principal blocks with 5 irreducible characters ⋮ Morita equivalent blocks in subgroups of finite groups ⋮ Characters and generation of Sylow 2-subgroups ⋮ The Glauberman character correspondence and perfect isometries for blocks of finite groups ⋮ Quotients, Cartan matrices and Morita equivalent blocks ⋮ Decomposition numbers of \(\text{SU}(3,q^2)\) ⋮ Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences) ⋮ Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9 ⋮ On perfect isometries and isotypies in finite groups

Cites Work

• Some applications of the theory of blocks of characters of finite groups. I
• Some applications of the theory of blocks of characters of finite groups. II
• On The Characters of p-Solvable Groups
• Unnamed Item

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