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arXiv · 2310.00181

Finite groups with integer harmonic mean of element orders

Iulia Cătălina Pleşca·Marius Tărnăuceanu
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Abstract

In this paper, we introduce a new function computing the harmonic mean of element orders of a finite group. We present a series of properties for this function, and then we study groups for which the value of the function is an integer.

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Iulia Cătălina Pleşca, Marius Tărnăuceanu. 2023-09-29. Finite groups with integer harmonic mean of element orders. https://arxiv.org/abs/2310.00181

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