English

On a group-theoretical generalization of the Gauss formula

Group Theory 2022-12-20 v1

Abstract

In this paper, we discuss a group-theoretical generalization of the well-known Gauss formula involving the functionthat counts the number of automorphisms of a finite group. This gives several characterizations of finite cyclic groups.

Keywords

Cite

@article{arxiv.2212.09055,
  title  = {On a group-theoretical generalization of the Gauss formula},
  author = {Georgiana Fasolă and Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:2212.09055},
  year   = {2022}
}

Comments

To appear in Czech. Math. J