On the order of Dehn twists

TL;DR

This paper determines the order of higher dimensional Dehn twists within certain important topological groups, providing insights into their algebraic structure and behavior.

Contribution

It establishes the order of higher dimensional Dehn twists in various topologically significant groups, a novel result in geometric topology.

Findings

Computed the order of higher dimensional Dehn twists

Identified key groups where these twists have finite order

Enhanced understanding of Dehn twist algebraic properties

Abstract

This note records the order of a higher dimensional Dehn twist in a range of topologically significant groups.