Generating functions for permutation representations.

DOI10.1016/j.jalgebra.2004.07.028zbMath1120.20012OpenAlexW2071071062MaRDI QIDQ705997

Yugen Takegahara

Publication date: 16 February 2005

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

Full work available at URL: https://muroran-it.repo.nii.ac.jp/?action=repository_uri&item_id=9934

zbMATH Keywords

Weyl groupssymmetric groupsfinite groupswreath productsalternating groupspermutation representationsexponential generating functionsnumbers of homomorphismsWohlfahrt series

Mathematics Subject Classification ID

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

Related Items (4)

On Wohlfahrt series and wreath products. ⋮ Multiple Burnside rings and Brauer induction formulae ⋮ 2-adic properties of the numbers of representations in wreath products ⋮ 2-adic properties for the numbers of representations in the alternating groups

Cites Work

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• Wreath products by the symmetric groups and product posets of Young's lattices
• Über einen Satz von Dey und die Modulgruppe
• Enumerating representations in finite wreath products
• A generating function for the number of homomorphisms from a finitely generated abelian group to an alternating group
• Enumerating representations in finite wreath products. II: Explicit formulae
• The solutions of \(x^ d=1\) in finite groups
• Representations of permutation groups. Part I
• Non-additive exact functors and tensor induction for Mackey functors
• Categorical aspects of generating functions. I: Exponential formulas and Krull-Schmidt categories

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