Galois action and cyclic defect groups for \(\mathrm{Sp}_6 (2^a)\)

DOI10.2140/INVOLVE.2024.17.273zbMATH Open1542.2006MaRDI QIDQ6543067

Amanda A. Schaeffer Fry, Frank Pryor, Andrew Peña

Publication date: 24 May 2024

Published in: Involve (Search for Journal in Brave)

zbMATH Keywords

symplectic groupirreducible characterscharacter tablelocal-global conjecturesGalois automorphismsMcKay-Navarro conjectureGalois-McKay conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• \(Sp_6(2^a)\) is ``good for the McKay, Alperin weight, and related local-global conjectures.
• CHEVIE -- A system for computing and processing generic character tables
• Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics
• Galois action on the principal block and cyclic Sylow subgroups
• The McKay conjecture and Galois automorphisms.
• Representations and characters of groups.
• On Self-Normalising Sylow $2$-Subgroups in Type A
• Irreducible representations of odd degree

This page was built for publication: Galois action and cyclic defect groups for \(\mathrm{Sp}_6 (2^a)\)

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6543067)