Computing with endomorphism rings of modular representations

DOI10.1016/S0747-7171(08)80078-8zbMath0703.20009OpenAlexW2026523478MaRDI QIDQ915851

Gerhard J. A. Schneider

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/s0747-7171(08)80078-8

zbMATH Keywords

socle seriesindecomposabilitysourcesimple groupsmodular representationvertexCAYLEYalgorithms for computing invariantsendomorphism ring of a module

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Endomorphism rings; matrix rings (16S50) Modular representations and characters (20C20) Software, source code, etc. for problems pertaining to group theory (20-04) Representations of sporadic groups (20C34)

Related Items

Computing Homomorphism Spaces between Modules over Finite Dimensional Algebras, Constructing homomorphism spaces and endomorphism rings., Automorphism group computation and isomorphism testing in finite groups, Computing automorphisms of finite soluble groups, Efficient decomposition of separable algebras., Efficient decomposition of associative algebras over finite fields, The structure of the projective indecomposable modules of the Mathieu group \(M_{12}\) in characteristic 2 and 3, Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups., Some problems in computational representation theory, Conjugacy class sums for induced modules: Construction and applications

Uses Software

• Cayley

Cites Work

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• The modular characters of the Mathieu groups
• On the indecomposable representations of a finite group
• The brauer characters of the hall-janko group
• Psl(3,4) In characteristic 3
• The Structure of the Group Ring of a p-Group Over a Modular Field