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arXiv · 1904.03340

Detecting structural properties of finite groups by the sum of element orders

Marius Tărnăuceanu
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Abstract

In this paper, we introduce a new function related to the sum of element orders of finite groups. It is used to give some criteria for a finite group to be cyclic, abelian, nilpotent, supersolvable and solvable, respectively.

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Marius Tărnăuceanu. 2019-04-06. Detecting structural properties of finite groups by the sum of element orders. https://arxiv.org/abs/1904.03340

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