Numbers which are orders only of cyclic groups

DOI10.1090/proc/15658zbMath1503.11130arXiv2007.09734OpenAlexW3162163524MaRDI QIDQ5020690

Paul Pollack

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09734

zbMATH Keywords

cyclic groupsgrowth of arithmetic functions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on arithmetic functions (11N37)

Related Items (2)

On the greatest common divisor of n and the nth Fibonacci number, II ⋮ Numbers which are only orders of abelian or nilpotent groups

Uses Software

• DLMF

Cites Work

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• On the number of groups of a given order
• On the set of natural numbers which only yield orders of Abelian groups
• On the enumeration of finite groups
• On nilpotent but not abelian groups and abelian but not cyclic groups
• On orders solely of Abelian groups. III
• On the number of restricted prime factors of an integer. I
• The asymptotic formula for \(F_1(x)\)
• Phi, primorials, and Poisson
• Über die endlichen Ordnungszahlen, zu denen nur eine Gruppe gehört
• On orders Solely of Abelian Groups II
• On orders solely of abelian groups
• On the distribution of amicable numbers.
• The Number of Non-cyclic Sylow Subgroups of the Multiplicative Group Modulo n

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