\(Sp_6(2^a)\) is ``good for the McKay, Alperin weight, and related local-global conjectures.

DOI10.1016/j.jalgebra.2013.12.007zbMath1298.20014arXiv1212.5622OpenAlexW2963258396WikidataQ123020945 ScholiaQ123020945MaRDI QIDQ397969

Amanda A. Schaeffer Fry

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1212.5622

zbMATH Keywords

numbers of irreducible charactersfinite simple groupscross characteristic representationsfinite classical groupsMcKay conjectureAlperin-McKay conjectureAlperin weight conjecturelocal-global conjectures

Mathematics Subject Classification ID

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

Related Items (9)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Alperin weight conjecture and related developments ⋮ The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes ⋮ On the inductive Alperin-McKay conditions in the maximally split case ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ Inductive AM condition for the alternating groups in characteristic 2. ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\) ⋮ Radical subgroups and the inductive blockwise Alperin weight conditions for \(\mathrm{PSp}_4(q)\) ⋮ The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes

Uses Software

• CHEVIE
• CTblLib

Cites Work

• Quasi-isolated blocks and Brauer's height zero conjecture.
• Odd character degrees for \(\text{Sp}(2n,2)\).
• A reduction theorem for the Alperin weight conjecture.
• Decomposition numbers of \(\text{Sp}(4,q)\)
• Derived categories and Deligne-Lusztig varieties.
• Decomposition numbers of \(\text{SU}(3,q^2)\)
• Decomposition numbers of \(\text{Sp}_ 4(2^ a)\) in odd characteristics
• CHEVIE -- A system for computing and processing generic character tables
• Decomposition numbers of unipotent blocks of \(\text{Sp}_6(2^a)\) in odd characteristics
• Cross-characteristic representations of \(\mathrm{Sp}_6(2^a)\) and their restrictions to proper subgroups.
• A reduction theorem for the McKay conjecture.
• The characters of the finite symplectic group Sp(4,q), q=2\(^f\)
• A reduction theorem for the blockwise Alperin weight conjecture
• A reduction theorem for the Alperin–McKay conjecture
• Irreducible brauer characters of the 3-dimensional special unitary groups in non-defining characteristic^∗
• Weights for Classical Groups
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Cross characteristic representations of even characteristic symplectic groups
• Height 0 characters of finite groups of Lie type
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(Sp_6(2^a)\) is ``good for the McKay, Alperin weight, and related local-global conjectures.