The projective characters of the symmetric groups that remain irreducible on subgroups

DOI10.1016/0021-8693(91)90181-7zbMath0792.20012OpenAlexW2080434779MaRDI QIDQ1174743

David B. Wales, Peter B. Kleidman

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90181-7

zbMATH Keywords

maximal subgroupsalternating groupsquasisimple subgroupsirreducible spin charactersymmetric group \(S_ n\)

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06) Projective representations and multipliers (20C25) Subgroups of symmetric groups (20B35)

Related Items (11)

The imprimitive faithful complex characters of the Schur covers of the symmetric and alternating groups ⋮ On the Durfee size of Kronecker products of characters of the symmetric group and its double covers. ⋮ Critical classes, Kronecker products of spin characters, and the Saxl conjecture ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Some remarks on maximal subgroups of finite classical groups ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ Normalizers of primitive permutation groups ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ On restrictions of modular spin representations of symmetric and alternating groups ⋮ On the orders of primitive groups

Cites Work

• The complex characters of the symmetric groups that remain irreducible in subgroups
• Shifted tableaux, Schur q-functions, and a conjecture of R. Stanley
• Shifted tableaux and the projective representations of symmetric groups
• An observation on the degrees of projective representations of the symmetric and alternating group over an arbitrary field
• Minimal degree for a permutation representation of a classical group
• The representation theory of the symmetric groups
• The Spin Representation of the Symmetric Group
• Decomposition matrices for spin characters of symmetric groups
• The symmetric group: branching rules, products and plethysms for spin representations
• Finite Permutation Groups and Finite Simple Groups
• Generosity and Characters of Multiply Transitive Permutation Groups
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Maximal subgroups of finite groups
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