scientific article; zbMATH DE number 7069765

zbMath1430.11134MaRDI QIDQ5384298

Roman Nedela, Carl B. Pomerance

Publication date: 21 June 2019

Full work available at URL: http://math.colgate.edu/~integers/s82/s82.pdf

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zbMATH Keywords

asymptotic formulacyclic groupEuler's totient functioncyclic integersingular integers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Asymptotic results on arithmetic functions (11N37) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (2)

Complete regular dessins and skew-morphisms of cyclic groups ⋮ 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 nilpotent but not abelian groups and abelian but not cyclic groups
• Euler and the partial sums of the prime harmonic series
• Complete bipartite graphs with a unique regular embedding
• An arithmetic theorem related to groups of bounded nilpotency class.
• Über die endlichen Ordnungszahlen, zu denen nur eine Gruppe gehört
• On finite groups which are necessarily commutative
• 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
• On the distribution of amicable numbers.
• The complete bipartite graphs with a unique edge‐transitive embedding
• Complete regular dessins and skew-morphisms of cyclic groups
• On the Uniqueness of the Cyclic Group of Order n

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