The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_{n}(q)\) and \(\mathrm{PSU}_{n}(q)\) with cyclic outer automorphism groups

DOI10.1016/J.JALGEBRA.2017.11.003zbMath1457.20016OpenAlexW2767508023MaRDI QIDQ1682071

Conghui Li, Ji Ping Zhang

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.003

zbMATH Keywords

unitary groupslinear groupscyclic outer automorphism groupsinductive blockwise Alperin weight condition

Mathematics Subject Classification ID

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

Related Items (14)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ Inductive blockwise Alperin weight condition for type \(\mathsf{B}\) and odd primes ⋮ Alperin weight conjecture and related developments ⋮ THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\) ⋮ Morita equivalences and the inductive blockwise Alperin weight condition for type 𝖠 ⋮ 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 blocks and weights of finite special linear and unitary groups ⋮ The inductive blockwise Alperin weight condition for PSL(3, 4) ⋮ On the inductive blockwise Alperin weight condition for classical groups ⋮ An equivariant bijection between irreducible Brauer characters and weights for \(\mathrm{Sp}(2n,q)\) ⋮ The inductive blockwise Alperin weight condition for PSU(4, 3) and PSU(6, 2)

Cites Work

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• Weights for symmetric and general linear groups
• On the decomposition numbers of the finite unitary groups in non-defining characteristic
• Extensions of unipotent characters and the inductive McKay condition.
• 2-weights for general linear groups
• Character theory of finite groups
• The blocks of finite general linear and unitary groups
• Equivariance and extendibility in finite reductive groups with connected center.
• A reduction theorem for the blockwise Alperin weight conjecture
• 2-Weights for Unitary Groups
• Weights for Classical Groups

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