Geodesic
On a group-theoretical generalization of the Gauss formula
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 311-317.

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We discuss a group-theoretical generalization of the well-known Gauss formula involving the function that counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.
DOI : 10.21136/CMJ.2022.0225-22
Classification : 11A25, 11A99, 20D60, 20D99
Keywords: Gauss formula; Euler's totient function; automorphism group; finite group; cyclic group; abelian group 
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Fasolă, Georgiana; Tărnăuceanu, Marius. On a group-theoretical generalization of the Gauss formula. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 311-317. doi : 10.21136/CMJ.2022.0225-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0225-22/

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