The Minimal Degrees of Faithful Representations of the Sporadic Simple Groups and their Covering Groups

DOI10.1112/S1461157000000930zbMath1089.20006MaRDI QIDQ5697472

Christoph Jansen

Publication date: 17 October 2005

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

Full work available at URL: http://www.lms.ac.uk/jcm/8/lms2002-031/

zbMATH Keywords

sporadic simple groupsmodular representationsBrauer character tablesdegrees of representations

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of sporadic groups (20C34)

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Uses Software

• GAP
• ATLAS Group Representations

Cites Work

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• The minimal 5-representation of Lyons' sporadic group
• On the group \(Fi_{24}\)
• Calculation of the 7-modular characters of the Held group
• The \(2\)-modular characters of Conway's third group \(Co_ 3\)
• The 7-Modular Decomposition Matrices of the Sporadic O'Nan Group
• The 2-Modular and 3-Modular Decomposition Numbers for the Sporadic Simple O'Nan Group and its Triple Cover
• A New Construction of the Baby Monster and Its Applications
• The 5-modular characters of the covering group f_I22The sporadic simple fischer group fi₂₂and its automorphism group^*
• The 2-modular characters of Conway's group Co₂
• Minimal dimensions for modular representations of the monster
• The 3-modular decomposition numbers of the sporadic simple suzuki group
• Decomposition matrices of the chevalley group F₄(2) and its covering group^∗
• The 5-modular characters of the sporadic simple rudvalis group and its covering group^*
• The minimal faithful 3-modular representation for the lyons group