The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\)

DOI10.1016/j.jalgebra.2019.10.004zbMath1480.20028OpenAlexW2979707190MaRDI QIDQ2182364

Conghui Li, Ji Ping Zhang

Publication date: 23 May 2020

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.10.004

zbMATH Keywords

linear groupsAlperin weight conjectureinductive condition

Mathematics Subject Classification ID

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

Related Items (6)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Alperin weight conjecture and related developments ⋮ 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 ⋮ The inductive blockwise Alperin weight condition for PSL(3, 4) ⋮ The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)

Cites Work

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• Equivariance and extendibility in finite reductive groups with connected center.
• A reduction theorem for the blockwise Alperin weight conjecture
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