Weights for the Steinberg triality groups \({^ 3D_ 4(q)}\)

DOI10.1007/BF02571904zbMath0814.20009MaRDI QIDQ1346350

Jianbei An

Publication date: 13 June 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174729

zbMATH Keywords

Alperin's weight conjecturefinite groups of Lie typelocal structureSteinberg triality groupsmaximal subgroup\(r\)-blocksradical \(r\)-subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (3)

The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\) ⋮ Alperin weight conjecture and related developments ⋮ Maximal 2-local subgroups of \(F_4(q)\) and \(E_6^\eta(q)\).

Cites Work

• Weights for symmetric and general linear groups
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Seminar on algebraic groups and related finite groups. Held at the Institute for Advanced Study, Princeton/N.J., 1968/69
• The automorphism group of an extraspecial \(p\)-group
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• 2-weigths for classical groups.
• Weights for Classical Groups
• Weights for the Chevalley Groups G₂ (q)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weights for the Steinberg triality groups \({^ 3D_ 4(q)}\)