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arXiv:1510.02014 [math.GR]AbstractReferencesReviewsResources

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

Alexander Bors

Published 2015-10-07Version 1

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.

Comments: 5 pages
Categories: math.GR
Subjects: 20C25, 20D05, 20D45
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