Czechoslovak Mathematical Journal, Vol. 73, No. 1, pp. 311-317, 2023
On a group-theoretical generalization of the Gauss formula
Georgiana Fasolă, Marius Tărnăuceanu
Received May 28, 2022. Published online December 15, 2022.
Abstract: 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.
Affiliations: Georgiana Fasolă, Marius Tărnăuceanu (corresponding author), Faculty of Mathematics, Alexandru Ioan Cuza University, Bulevardul Carol I no. 11, 700506 Iaşi, Romania, e-mail: georgiana.fasola@student.uaic.ro, tarnauc@uaic.ro