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arXiv · 2411.07017

A survey on power maps in groups

Saikat Panja·Anupam Singh
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Abstract

The study of word maps on groups has been of deep interest in recent years. This survey focuses on the case of power maps on groups; $viz.$ the map $x\mapsto x^M$ for a group $G$, and an integer $M\geq 2$. Here, we accumulate various results on the subject and pose some questions.

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Saikat Panja, Anupam Singh. 2024-11-11. A survey on power maps in groups. https://arxiv.org/abs/2411.07017

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