On Free Group Generated by Two Heisenberg Translations
Sagar B. Kalane, Devendra Tiwari
TL;DR
This paper investigates when groups generated by two Heisenberg translations in ${ m PSp}(2,1)$ are free, improving previous results and extending them to the ${ m PSp}(2,1)$ case.
Contribution
It provides new criteria for the freeness of groups generated by two Heisenberg translations in ${ m PSp}(2,1)$, extending earlier work.
Findings
Derived conditions for freeness of generated groups
Extended previous results to ${ m PSp}(2,1)$ case
Improved understanding of Heisenberg translation groups
Abstract
In this paper, we will discuss the groups generated by two Heisenberg translations of and determine when they are free. We improve a result given in \cite{xwy} by Xie, Wang, Jiang in Canad. Math. Bull. and from that derive result for the case.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Geometric and Algebraic Topology · Mathematical Dynamics and Fractals