On a group-theoretical generalization of the Gauss formula

DOI10.21136/CMJ.2022.0225-22OpenAlexW4311613815MaRDI QIDQ5878433

Georgiana Fasolă, Marius Tărnăuceanu

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.09055

zbMATH Keywords

automorphism groupcyclic groupabelian groupfinite groupGauss formulaEuler's totient function

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Abstract finite groups (20D99) Arithmetic functions; related numbers; inversion formulas (11A25) Elementary number theory (11A99)

Cites Work

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• Harmonic numbers and finite groups.
• Revisiting the Leinster groups.
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• Finite groups determined by an inequality of the orders of their subgroups.
• A generalization of the Euler’s totient function
• Finite groups determined by an inequality of the orders of their subgroups II
• The number of automorphism of a finite abelian group of rank two
• FINITE -GROUPS WITH SMALL AUTOMORPHISM GROUP
• Automorphisms of Finite Abelian Groups
• ON THE ORDERS OF AUTOMORPHISM GROUPS OF FINITE GROUPS
• On the orders of automorphism groups of finite groups. II

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