Finite groups with minimal 1-PIM.

DOI10.1007/s00229-008-0176-9zbMath1173.20006OpenAlexW2030651283MaRDI QIDQ948924

Gunter Malle, Thomas S. Weigel

Publication date: 16 October 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0176-9

zbMATH Keywords

Hall subgroupsfinite simple groupsfinite soluble groupsprojective covers

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Finite simple groups and their classification (20D05)

Related Items

Restricted Lie algebras with maximal 0-PIM, Corrections to: “A Murnaghan–Nakayama rule for values of unipotent characters in classical groups”, Finite groups whose first Cartan invariants over a field of characteristic two are two., Steinberg-like characters for finite simple groups, The trivial intersection problem for characters of principal indecomposable modules.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Brauer trees in classical groups
• Generic Cartan invariants for Chevalley groups
• Projective modules for Sp(4,p) in characteristic p
• On the projective characters in characteristic 2 of the groups \(Suz(2^m)\) and \(Sp_4(2^n)\)
• Projective modules for SL(2,q)
• SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
• Minimal characters of the finite classical groups
• Height 0 characters of finite groups of Lie type
• On Ree's Series of Simple Groups