English

On the McCool group $M_3$ and its associated Lie Algebra

Rings and Algebras 2015-06-23 v1

Abstract

We prove that the Lie Algebra of the McCool group M3M_3 is torsion free. As a result we are able to give a presentation for the Lie Algebra of M3M_3. Furthermore, M3M_3 is a Magnus group.

Keywords

Cite

@article{arxiv.1506.06495,
  title  = {On the McCool group $M_3$ and its associated Lie Algebra},
  author = {V. Metaftsis and A. I. Papistas},
  journal= {arXiv preprint arXiv:1506.06495},
  year   = {2015}
}

Comments

45 pages, complete version containing all calculations