On some properties of the number of permutations being products of pairwise disjoint \(d\)-cycles

DOI10.1007/s00605-020-01397-5zbMath1442.11052arXiv1904.03395OpenAlexW3011099088MaRDI QIDQ2173233

Maciej Ulas, Piotr Miska

Publication date: 22 April 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03395

zbMATH Keywords

permutationssymmetric groupsperiodicityspecial polynomials

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Special sequences and polynomials (11B83) Symmetric groups (20B30) Sequences (mod (m)) (11B50)

Related Items (2)

Binomial coefficients, roots of unity and powers of prime numbers ⋮ On \(k\)-regularity of sequences of valuations and last non-zero digits

Uses Software

• OEIS

Cites Work

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• Involutions and their progenies
• Binomial self-inverse sequences and tangent coefficients
• 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
• Log-concavity and related properties of the cycle index polynomials
• A combinatorial approach to the power of 2 in the number of involutions
• On Recursions Connected With Symmetric Groups I

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