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On a group-theoretical generalization of the Gauss formula

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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.

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Acknowledgments

The authors are grateful to the reviewers for their remarks which improved the previous version of the paper.

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Authors and Affiliations

  1. Faculty of Mathematics, Alexandru Ioan Cuza University, Bulevardul Carol I no. 11, 700506, Iaşi, Romania

    Georgiana Fasolă & Marius Tărnăuceanu

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  1. Georgiana Fasolă
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  2. Marius Tărnăuceanu
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Correspondence to Marius Tărnăuceanu.

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Fasolă, G., Tărnăuceanu, M. On a group-theoretical generalization of the Gauss formula. Czech Math J 73, 311–317 (2023). https://doi.org/10.21136/CMJ.2022.0225-22

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  • DOI: https://doi.org/10.21136/CMJ.2022.0225-22

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