scientific article; zbMATH DE number 7538927

zbMath1494.20017MaRDI QIDQ5865557

Carolina Vallejo Rodríguez

Publication date: 9 June 2022

Full work available at URL: https://gaceta.rsme.es/abrir.php?id=1680

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Cites Work

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• Characters of odd degree
• The strengthened Alperin weight conjecture for \(p\)-solvable groups.
• A reduction theorem for the Alperin weight conjecture.
• Weights for symmetric and general linear groups
• Counting characters in blocks. I
• The number of blocks with a given defect group
• Brauer morphism between modular Hecke algebras
• Weights and vertices for characters of \(\pi\)-separable groups
• Galois action on the principal block and cyclic Sylow subgroups
• Weight conjectures for fusion systems
• A reduction theorem for the McKay conjecture.
• The McKay conjecture and Galois automorphisms.
• A reduction theorem for the blockwise Alperin weight conjecture
• A reduction theorem for the Alperin–McKay conjecture
• Two remarks on the reduction of Alperin's weight conjecture
• Inductive McKay condition in defining characteristic
• Some Remarks on a Conjecture of Alperin
• Counting characters in blocks, II.
• Character Theory and the McKay Conjecture
• Defect zero blocks for finite simple groups
• A reduction theorem for the Galois–McKay conjecture
• Local functions on finite groups
• Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture
• Sylow subgroups, exponents, and character values
• Local-global conjectures in the representation theory of finite groups
• Irreducible representations of odd degree

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