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arXiv · 1510.02014

A bound on element orders in the holomorph of a finite group

Alexander Bors
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Abstract

Let $G$ be a finite group. We prove a theorem implying that the orders of elements of the holomorph $\operatorname{Hol}(G)$ are bounded from above by $|G|$, and we discuss an application to bounding automorphism orders of finite groups.

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Alexander Bors. 2015-10-07. A bound on element orders in the holomorph of a finite group. https://arxiv.org/abs/1510.02014

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