The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group

DOI10.1090/mcom/3435zbMath1479.20010arXiv1901.11431OpenAlexW2913726225MaRDI QIDQ5226669

Klaus Lux, Thomas Breuer, Frank Lübeck, Gerhard Hiss

Publication date: 1 August 2019

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.11431

zbMATH Keywords

Chevalley groupcomputationdecomposition matrixmudular characters

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33) Computational methods for problems pertaining to group theory (20-08)

Uses Software

• GAP
• Magma
• CHEVIE
• MeatAxe
• GAP Character Table Library
• CTblLib
• ATLAS Group Representations

Cites Work

• The decomposition numbers of the Hecke algebra of type \(F_ 4\)
• Tackling the generation problem in condensation.
• The Magma algebra system. I: The user language
• CHEVIE -- A system for computing and processing generic character tables
• The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.
• Prime Power Representations of Finite Linear Groups II
• Decomposition matrices of the chevalley group F₄(2) and its covering group^∗
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The completion of the $3$-modular character table of the Chevalley group $F_4(2)$ and its covering group