Arithmetic functions and fixed points of powers of permutations

DOI10.1007/s00013-023-01855-0arXiv2206.04021OpenAlexW4367394515MaRDI QIDQ6156369

Melvyn B. Nathanson

Publication date: 13 June 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04021

zbMATH Keywords

permutationsfixed pointsgroup theorycycle structurearithmetic functions

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Asymptotic properties of groups (20F69) Rate of growth of arithmetic functions (11N56) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Cites Work

• On fixed points of permutations.
• On the number of fixed point free elements in a permutation group
• Elementary Methods in Number Theory

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