A survey on power maps in groups

Fuente: arXiv
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Autori principali: Panja, Saikat, Singh, Anupam
Natura: Preprint
Pubblicazione: 2024
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author Panja, Saikat
Singh, Anupam
author_facet Panja, Saikat
Singh, Anupam
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07017
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A survey on power maps in groups
Panja, Saikat
Singh, Anupam
Group Theory
20G40, 20P05
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.
title A survey on power maps in groups
topic Group Theory
20G40, 20P05
url https://arxiv.org/abs/2411.07017