On Wohlfahrt series and wreath products.

DOI10.1016/j.aim.2006.05.008zbMath1163.20001OpenAlexW2041570522MaRDI QIDQ868913

Yugen Takegahara

Publication date: 26 February 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://muroran-it.repo.nii.ac.jp/?action=repository_uri&item_id=6675

zbMATH Keywords

symmetric groupswreath productspermutation representationsreflection groupsexponential generating functionslinear charactersnumbers of homomorphismsWohlfahrt series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (4)

\(p\)-adic estimates of the number of permutation representations ⋮ 2-adic properties of the numbers of representations in wreath products ⋮ 2-adic properties for the numbers of representations in the alternating groups ⋮ The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II)

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