Some applications of the theory of blocks of characters of finite groups. IV

DOI10.1016/0021-8693(71)90006-8zbMath0247.20013OpenAlexW4213154680MaRDI QIDQ2555914

Richard Brauer

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90006-8

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items

Rationality of eigenvalues of Cartan matrices in finite groups ⋮ On the Heights of Group Characters ⋮ Blocks with the hyperfocal subgroup \(\mathbb{Z}_{2^n}\times\mathbb{Z}_{2^n}\) ⋮ Alperin weight conjecture and related developments ⋮ On finite groups all of whose \(p\)-blocks are of the highest defect ⋮ On p-blocks with Abelian defect groups and inertial index 2 or 3. I ⋮ Quasi-isolated blocks and Brauer's height zero conjecture. ⋮ Perfect isometries for principal blocks with Abelian defect groups and elementary Abelian \(2\)-inertial quotients ⋮ Brauer’s generalized decomposition numbers and universal deformation rings ⋮ On the kernels of representations of finite groups II ⋮ Blocks whose defect groups are Klein four groups ⋮ Brauer coefficients of p-subgroups associated with a p-block of a finite group ⋮ Real-valued and 2-rational group characters ⋮ Some application of the theory of blocks of characters of finite groups. V ⋮ Universal deformation rings and tame blocks ⋮ On the projectives of a group algebra ⋮ On 2-blocks with wreathed defect groups ⋮ On the number of irreducible characters in a 2-block ⋮ Dimensions of some binary codes arising from a conic in \(\mathrm{PG}(2,q)\) ⋮ Proofs of two conjectures on the dimensions of binary codes ⋮ Hochschild cohomology of tame blocks. ⋮ Blocks whose defect groups are Klein four groups: A correction ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ The Kernel of a Block of a Group Algebra ⋮ Real characters in blocks. ⋮ Modular Representations of Metabelian Groups ⋮ Green correspondence between blocks with cyclic defect groups. I ⋮ On 2-blocks with quaternion and quasihedral defect groups ⋮ Blocks with dihedral defect groups in solvable groups ⋮ The principal block of finite groups with dihedral Sylow 2-subgroups ⋮ Components of the involution module in blocks with cyclic or Klein-four defect group ⋮ On the structure of block ideals in group algebras of finite groups ⋮ On finite groups with cyclic Sylow subgroups. II ⋮ Dihedral defect groups ⋮ Fusion systems ⋮ Character theory of finite groups with wreathed Sylow 2-subgroups ⋮ Projective resolutions for a certain class of groups ⋮ On the kernels of representations of finite groups ⋮ Über die Kerne von Blöcken einer Gruppenalgebra ⋮ On strongly associative group algebras of p-solvable groups

Cites Work

• Blocks with cyclic defect groups
• Blocks and normal subgroups
• Some applications of the theory of blocks of characters of finite groups. III
• ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK
• On certain classes of positive definite quadratic forms
• On Blocks and Sections in Finite Groups. I
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups