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arXiv · 2312.00008

A generalized character associated to element orders

Alexander Moretó
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Abstract

Let $G$ be a finite group. We study the generalized character defined by $\Xi(g)=|G|o(g)$, for $g\in G$, which is closely related to a function that has been very studied recently from a group theoretical point of view.

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Alexander Moretó. 2023-10-09. A generalized character associated to element orders. https://arxiv.org/abs/2312.00008

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