2-adic properties for the numbers of involutions in the alternating groups

DOI10.1142/S0219498815500528zbMath1309.05010OpenAlexW2035808280MaRDI QIDQ4983045

Yugen Takegahara, Masaki Sato, Tatsuhiko Koda

Publication date: 14 April 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500528

zbMATH Keywords

symmetric groupalternating groupwreath productArtin-Hasse exponential\(p\)-adic analytic function

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Extensions, wreath products, and other compositions of groups (20E22) Symmetric groups (20B30) Sequences (mod (m)) (11B50)

Related Items (4)

\(p\)-adic estimates of the number of permutation representations ⋮ 2-adic properties of the numbers of representations in wreath products ⋮ Unnamed Item ⋮ 2-adic properties for the numbers of representations in the alternating groups

Cites Work

• Unnamed Item
• Wreath products by the symmetric groups and product posets of Young's lattices
• A \(p\)-adic property of the Taylor series of \(\exp (x+x^p/p)\)
• \(p\)-divisibility of the number of solutions of \(x^p=1\) in a symmetric group
• The solutions of \(x^ d=1\) in finite groups
• A combinatorial approach to the power of 2 in the number of involutions
• On the Artin-Hasse Exponential Series
• The number of homomorphisms from a finite abelian group to a symmetric group
• On Recursions Connected With Symmetric Groups I

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