On nilpotent but not abelian groups and abelian but not cyclic groups

DOI10.1016/0022-314X(88)90048-0zbMath0635.10040OpenAlexW2031871449MaRDI QIDQ1097304

Paul Erdős, Michael E. Mays

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(88)90048-0

zbMATH Keywords

asymptotic formulaecounting functions

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Applications of sieve methods (11N36) Abstract finite groups (20D99) Abelian groups (20K99)

Related Items (4)

Numbers which are only orders of abelian or nilpotent groups ⋮ On orders solely of Abelian groups. III ⋮ Unnamed Item ⋮ Numbers which are orders only of cyclic groups

Cites Work

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• Die Ordnungen, zu denen nur Gruppen mit gegebener Eigenschaft gehören
• On the density of various classes of groups
• On the number of restricted prime factors of an integer. I
• On the distribution of amicable numbers.
• An asymptotic formula for the property (n,f(n)) = 1 for a class of multiplicative functions

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