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Addendum to “A generalization of a result on the sum of element orders of a finite group”

  • Mihai-Silviu Lazorec EMAIL logo und Marius Tărnăuceanu
Veröffentlicht/Copyright: 15. Februar 2023
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Abstract

Let G be a group of order n and H be a subgroup of order m of G. Denote by ψH(G) the sum of element orders relative to H of G. It is known that if G is nilpotent, then ψH(G)ψHm(Cn) , where Hm is the unique subgroup of order m of Cn. In this note, we show that this inequality does not hold for infinitely many finite solvable groups.

Acknowledgement

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

References

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Received: 2021-12-13
Accepted: 2022-01-06
Published Online: 2023-02-15
Published in Print: 2023-02-23

© 2023 Mathematical Institute Slovak Academy of Sciences

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