On the 2-decomposition numbers of Steinberg's triality groups \(^3D_4(q)\), \(q\) odd.

DOI10.1016/j.jalgebra.2006.04.022zbMath1123.20010OpenAlexW2042030740MaRDI QIDQ875105

Frank Himstedt

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.04.022

zbMATH Keywords

decomposition numbersSteinberg triality groupsSteinberg characterabsolutely irreducible representations

Mathematics Subject Classification ID

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

Related Items (10)

Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ Finite groups with a five-component prime graph. ⋮ On the number of characters in blocks of quasi-simple groups ⋮ Projective indecomposable permutation modules ⋮ On the decomposition numbers of the Ree groups \(^2F_4(q^2)\) in non-defining characteristic. ⋮ Cross characteristic representations of 3 D 4(q) are reducible over proper subgroups ⋮ On the number of simple modules in a block of a finite group ⋮ On the Decomposition Numbers of Steinberg's Triality Groups³D₄(2ⁿ) in Odd Characteristics ⋮ Regular orbits of quasisimple linear groups. I ⋮ Character Table of a Borel Subgroup of the Ree Groups ²F₄(q²)

Uses Software

• Maple
• CHEVIE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducibility of tensor squares, symmetric squares and alternating squares.
• Caractères unipotents de \({}^ 3D_ 4({\mathbb{F}}_ q)\)
• On quotients of Hom-functors and representations of finite general linear groups. I
• On the decomposition numbers of \(G_ 2(q)\)
• Decomposition numbers of \(\text{Sp}(4,q)\)
• Derived categories and Deligne-Lusztig varieties.
• Some aspects of finite linear groups: A survey
• Character tables of parabolic subgroups of Steinberg's triality groups.
• Hermitian function fields, classical unitals, and representations of 3-dimensional unitary groups.
• CHEVIE -- A system for computing and processing generic character tables
• Low-Dimensional Representations of Quasi-Simple Groups
• SMALLEST DEGREES OF REPRESENTATIONS OF EXCEPTIONAL GROUPS OF LIE TYPE
• Decomposition numbers of finite classical groups for linear primes.
• Character Table and Blocks of Finite Simple Triality Groups 3 D 4 (q)
• Generalized gelfand-graev characters for steinberg's triality groups and their applications
• Harish‐Chandra Series of Brauer Characters in a Finite Group with a Split BN ‐Pair
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic

This page was built for publication: On the 2-decomposition numbers of Steinberg's triality groups \(^3D_4(q)\), \(q\) odd.