The number of homomorphisms from a finite abelian group to a symmetric group

DOI10.1080/00927870008826958zbMath1112.20301OpenAlexW4229849328MaRDI QIDQ4495356

Tomoyuki Yoshida, Yugen Takegahara, Hidenori Katsurada

Publication date: 10 August 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826958

zbMATH Keywords

generating functionsfinite Abelian groupsnumbers of subgroupsnumbers of homomorphisms

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 (6)

\(p\)-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 ⋮ Truncated versions of Dwork's lemma for exponentials of power series and \(p\)-divisibility of arithmetic functions ⋮ The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II) ⋮ 2-adic properties for the numbers of involutions in the alternating groups

Cites Work

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• \(|\Hom(A,G)|\).

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