2-adic properties of the numbers of representations in wreath products

DOI10.1007/s10474-023-01300-2OpenAlexW4319001517MaRDI QIDQ2694861

Yugen Takegahara

Publication date: 4 April 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-023-01300-2

zbMATH Keywords

alternating groupwreath productfinite abelian \(p\)-group\(p\)-adic analytic function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Finite abelian groups (20K01) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Extensions, wreath products, and other compositions of groups (20E22) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Subgroups of abelian groups (20K27)

Cites Work

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• On the Artin-Hasse Exponential Series
• The number of homomorphisms from a finite abelian group to a symmetric group
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