On the set of natural numbers which only yield orders of Abelian groups

DOI10.1016/0022-314X(85)90026-5zbMath0576.10031MaRDI QIDQ1065065

Richard Warlimont

Publication date: 1985

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

zbMATH Keywords

Abelian groupsmultiplicative functions

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on arithmetic functions (11N37) Finite abelian groups (20K01)

Related Items (2)

On orders solely of abelian groups ⋮ Numbers which are orders only of cyclic groups

Cites Work

• Unnamed Item
• Das asymptotische Verhalten von Summen über multiplikative Funktionen
• On a result of R. R. Hall
• Über die endlichen Ordnungszahlen, zu denen nur eine Gruppe gehört
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Halving an estimate obtained from Selberg's upper bound method
• On the coprimality of values of Euler's function at consecutive integers.
• An asymptotic formula for the property (n,f(n)) = 1 for a class of multiplicative functions
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS

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