English

The Magnus embedding is a quasi-isometry

Group Theory 2012-07-10 v1

Abstract

We show that the Magnus embedding, which embeds the free solvable group of rank r and degree d into the wreath product of the free abelian group of rank r with the free solvable group of rank r and degree d-1, is a quasi-isometry.

Cite

@article{arxiv.1207.1830,
  title  = {The Magnus embedding is a quasi-isometry},
  author = {Svetla Vassileva},
  journal= {arXiv preprint arXiv:1207.1830},
  year   = {2012}
}

Comments

7 pages

R2 v1 2026-06-21T21:32:18.281Z