On Free Group Generated by Two Heisenberg Translations

Sagar B. Kalane; Devendra Tiwari

On Free Group Generated by Two Heisenberg Translations

Group Theory 2021-12-14 v5

Authors: Sagar B. Kalane , Devendra Tiwari

Abstract

In this paper, we will discuss the groups generated by two Heisenberg translations of ${\rm PSp}(2,1)$ and determine when they are free. We improve a result given in \cite{xwy} by Xie, Wang, Jiang in Canad. Math. Bull. $56(2013), 881-889.$ and from that derive result for the ${\rm PSp}(2,1)$ case.

Keywords

free group heisenberg translation psp(2,1) generated group

Cite

@article{arxiv.2009.13927,
  title  = {On Free Group Generated by Two Heisenberg Translations},
  author = {Sagar B. Kalane and Devendra Tiwari},
  journal= {arXiv preprint arXiv:2009.13927},
  year   = {2021}
}

Related papers

View all related →