Construction of the irreducible modular representations of a finite group

DOI10.1016/j.jalgebra.2019.08.015zbMath1485.20026OpenAlexW2969427231WikidataQ127335705 ScholiaQ127335705MaRDI QIDQ2282982

John J. Cannon, William R. Unger, Allan K. Steel

Publication date: 27 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.08.015

zbMATH Keywords

finite groupsrepresentation theoryBrauer charactersirreducible modules

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (1)

Computational group theory. Abstracts from the workshop held August 15--21, 2021 (hybrid meeting)

Uses Software

• M4RI
• Magma
• ATLAS Group Representations
• Algorithm 898

Cites Work

• Tackling the generation problem in condensation.
• Dixon's character table algorithm revisited
• Computer condensation of modular representations
• Fast algorithms for the characteristic polynomial
• Matrix generators for the orthogonal groups
• The Magma algebra system. I: The user language
• Computing chief series, composition series and socles in large permutation groups
• The \(2\)-modular characters of Conway's third group \(Co_ 3\)
• The computer construction of matrix representations of finite groups over finite fields
• Computing subgroups of bounded index in a finite group.
• Computing the character table of a finite group.
• Computing conjugacy class representatives in permutation groups.
• High speed computation of group characters
• Gaussian elimination is not optimal
• Computing maximal subgroups of finite groups.
• Algorithm 898
• Computing matrix representations
• The 7-Modular Decomposition Matrices of the Sporadic O'Nan Group
• Computing automorphism groups of error-correcting codes
• The 2-modular characters of Conway's group Co₂
• Completing the Brauer Trees for the Sporadic Simple Lyons Group
• The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3
• A Note on Theorems of Burnside and Blichfeldt
• Computing the subgroups of a permutation group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Construction of the irreducible modular representations of a finite group