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

Abstract

We prove that the Lie Algebra of the McCool group $M_3$ is torsion free. As a result we are able to give a presentation for the Lie Algebra of $M_3$. Furthermore, $M_3$ is a Magnus group.

arXiv comment45 pages, complete version containing all calculations

References in corpus (1)

• Basis-conjugating automorphisms of a free group and associated Lie algebras

Cited by in corpus (1)

• The pure braid groups and their relatives