On the decomposition numbers of the Ree groups \(^2F_4(q^2)\) in non-defining characteristic.

DOI10.1016/j.jalgebra.2010.08.030zbMath1241.20017arXiv0910.1991OpenAlexW2963831104MaRDI QIDQ630860

Frank Himstedt

Publication date: 22 March 2011

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

Full work available at URL: https://arxiv.org/abs/0910.1991

zbMATH Keywords

decomposition numbersmodular representationsRee groupsnon-defining characteristic

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items

Dade's Invariant Conjecture for the Ree Groups²F₄(q²) in Defining Characteristic ⋮ Constructing characters of Sylow \(p\)-subgroups of finite Chevalley groups ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ On the decomposition numbers of \(\mathrm{SO}_8^+(2^f)\) ⋮ Decomposition numbers of \(\mathrm{SO}_7(q)\) and \(\mathrm{Sp}_6(q)\). ⋮ Projective indecomposable permutation modules ⋮ On the inductive Alperin-McKay and Alperin weight conjecture for groups with abelian Sylow subgroups. ⋮ On the characters of the Sylow -subgroups of untwisted Chevalley groups ⋮ On the number of simple modules in a block of a finite group ⋮ The irreducible characters of the Sylow \(p\)-subgroups of the Chevalley groups \(\mathrm{D}_{6}(p^f)\) and \(\mathrm{E}_{6}(p^f)\) ⋮ On the Decomposition Numbers of Steinberg's Triality Groups³D₄(2ⁿ) in Odd Characteristics

Uses Software

• GAP
• Maple
• CHEVIE

Cites Work

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