Degree divisibility in Alperin-McKay correspondences

DOI10.1016/j.jpaa.2023.107449zbMath1517.20015arXiv2204.10124OpenAlexW4379162957MaRDI QIDQ6103352

Damiano Rossi, J. Miquel Martínez

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.10124

zbMATH Keywords

character degreesBrauer correspondenceAlperin-McKay conjecture

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Clifford theory with Galois action
• On the Harris-Knörr correspondence in \(p\)-solvable groups.
• The Brauer-Clifford group.
• Degree divisibility in character correspondences.
• Blocks of factor groups and heights of characters
• Divisibility of degrees in McKay correspondences
• Normal subgroups and heights of characters
• Character triple conjecture for \(p\)-solvable groups
• Brauer character degrees and Sylow normalizers
• Green functions and Glauberman degree-divisibility
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• On Brauer's height zero conjecture
• Above the Glauberman correspondence.
• Number of Sylow subgroups in $p$-solvable groups
• Character Theory and the McKay Conjecture
• The Block Theory of Finite Group Algebras
• A reduction theorem for the Galois–McKay conjecture
• Coprime actions and correspondences of Brauer characters

This page was built for publication: Degree divisibility in Alperin-McKay correspondences