Representations of Permutation Groups I: Representations of Wreath Products and Applications to the Representation Theory of Symmetric and Alternating Groups |
Contents
Introduction | 1 |
Generalized decomposition numbers of symmetric and alterna | 168 |
References | 182 |
Copyright | |
1 other sections not shown
Common terms and phrases
a₁ alternating groups ambivalent belong Brauer characters centralizer character table classes of G Clifford's theory complete system conjugacy classes conjugate contains Curtis/Reiner cycle product cyclic factors decomposition matrix decomposition numbers denote describe diagram double cosets elements evaluate finite group G₁ Hence implies induced representations inertia factor inertia group irreducible constituents irreducible ordinary representations K-representations Kerber Math minimal left ideals modular representation multiplicity nodes normal divisor obtain ordinary irreducible characters ordinary irreducible representations Osima p-block p-core p-element p-group p-modular p-regular p-Sylow-subgroup partition permutation groups permutation representation product multiplication Proof prove rational integral representation of GH representation theory representations of wreath resp Rn,p Robinson S-classes S₂ sentations Specht splitting field standard-tableaux subgroup submatrix subsets summand symbols symmetric and alternating symmetric group symmetrized outer products theorem theory of wreath wreath products Young-diagram