Radical subgroups and the inductive blockwise Alperin weight conditions for \(\mathrm{PSp}_4(q)\)

DOI10.1216/rmj.2020.50.1181OpenAlexW3089858240MaRDI QIDQ2204739

Julian M. A. Brough, Amanda A. Schaeffer Fry

Publication date: 16 October 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1601344816

zbMATH Keywords

cross characteristic representationsfinite classical groupsAlperin weight conjecturelocal-global conjectures

Mathematics Subject Classification ID

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

Related Items (5)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Alperin weight conjecture and related developments ⋮ On Alperin's lower bound for the number of Brauer characters ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\) ⋮ The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes

Cites Work

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• 2-weights for general linear groups
• Decomposition numbers of \(\text{Sp}(4,q)\)
• Action of automorphisms on irreducible characters of symplectic groups
• Irreducible characters of \(\mathrm{GSp}(4, q)\) and dimensions of spaces of fixed vectors
• The Sylow 2-subgroups of the finite classical groups
• A reduction theorem for the blockwise Alperin weight conjecture
• 2-Weights for Unitary Groups
• 2-weigths for classical groups.
• Weights for Classical Groups
• The Characters of the Finite Symplectic Group Sp(4,q)

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