A generating function for the number of homomorphisms from a finitely generated abelian group to an alternating group

DOI10.1006/JABR.2000.8666zbMath0997.05008OpenAlexW2013776836MaRDI QIDQ1599081

Yugen Takeghara

Publication date: 14 November 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8666

zbMATH Keywords

generating functionsmaximal subgroupsWeyl groupwreath productssymmetric grouphomomorphismsalternating groupfinitely generated abelian group

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (5)

On Wohlfahrt series and wreath products. ⋮ \(p\)-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 ⋮ Generating functions for permutation representations.

Cites Work

• Unnamed Item
• Über einen Satz von Dey und die Modulgruppe
• The solutions of \(x^ d=1\) in finite groups

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