The projective characters of the Mathieu group M12 and of its automorphism group

DOI10.1017/S0305004100056838zbMath0429.20015MaRDI QIDQ3866288

John F. Humphreys

Publication date: 1980

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

cohomology classMathieu groupBrauer charactersirreducible projective representationsSchur multiplierirreducible projective characters

Mathematics Subject Classification ID

Modular representations and characters (20C20) Automorphism groups of groups (20F28) Simple groups: alternating groups and groups of Lie type (20D06) Projective representations and multipliers (20C25)

Related Items

The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups, Representations of finite groups, Involutions in the decorations of M₁₂, Unnamed Item, Minimal modular character degrees for groups with a cyclic Sylow subgroup, Fusion systems realizing certain Todd modules, The projective characters of the Mathieu group M//(22), Decomposition numbers of the group \(\mathcal J_ 2\), Finite linear groups of degree 6

Cites Work

• Unnamed Item
• The modular characters of the Mathieu groups
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• Twelve points in PG (5, 3) with 95040 self-transformations
• Projective Characters of Finite Groups
• Projective Modular Representations of Finite Groups