The 2-modular characters of the Fischer group \(Fi_{23}\).

DOI10.1016/j.jalgebra.2005.06.039zbMath1102.20011OpenAlexW2010129515MaRDI QIDQ2498859

Max Neunhöffer, Felix Noeske, Gerhard Hiss

Publication date: 16 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.06.039

zbMATH Keywords

sporadic simple groupsBrauer characterspermutation representationsmodular representationsBrauer character tablescomputational representation theorycondensation methodssecond Fischer group

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Modular representations and characters (20C20) Representations of sporadic groups (20C34)

Related Items (6)

Tackling the generation problem in condensation. ⋮ The 2- and 3-modular characters of the sporadic simple Fischer group \(Fi_{22}\) and its cover. ⋮ The Computation of the 3-Modular Characters of the Fischer Group Fi₂₃^* ⋮ Brauer characters with cyclotomic field of values. ⋮ Matching Simple Modules of Condensed Algebras ⋮ Imprimitive irreducible modules for finite quasisimple groups

Uses Software

• GAP
• CTblLib
• ATLAS Group Representations

Cites Work

• Polynomial representations of \(GL_n\)
• The non-principal 2-blocks of sporadic simple groups^*
• The 5-modular characters of the sporadic simple fischer groups fi₂₂and fi₂₃
• Enumerating Large Orbits and Direct Condensation
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