The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II)

DOI10.1080/00927872.2015.1053896zbMath1391.20019OpenAlexW2051687695MaRDI QIDQ2815400

Yugen Takegahara

Publication date: 28 June 2016

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

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053896

zbMATH Keywords

symmetric groupgroup homomorphism\(p\)-adic exponential function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of symmetric groups (20B35)

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 ⋮ \(p\)-divisibility of the number of linear representations of an abelian \(p\)-group

Cites Work

• Unnamed Item
• On Wohlfahrt series and wreath products.
• Wreath products by the symmetric groups and product posets of Young's lattices
• On computing the number of subgroups of a finite Abelian group
• Über einen Satz von Dey und die Modulgruppe
• A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\)
• On Butler's unimodality result
• \(|\Hom(A,G)|\).
• \(p\)-divisibility of the number of solutions of \(x^p=1\) in a symmetric group
• The solutions of \(x^ d=1\) in finite groups
• On the Frobenius numbers of symmetric groups
• The number of homomorphisms from a finite abelian group to a symmetric group
• On Recursions Connected With Symmetric Groups I

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