On a group-theoretical generalization of the Gauss formula

On a group-theoretical generalization of the Gauss formula

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.

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Veröffentlicht in:arXiv.org 2022-12
Hauptverfasser: Fasolă, Georgiana, Tărnăuceanu, Marius
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms
Group theory
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Zusammenfassung: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.
ISSN:2331-8422