English

Linear automorphism groups of relatively free groups

Group Theory 2007-07-05 v1 Representation Theory

Abstract

Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear iff G is a virtually nilpotent group.

Keywords

Cite

@article{arxiv.0707.0571,
  title  = {Linear automorphism groups of relatively free groups},
  author = {A. Yu. Olshanskii},
  journal= {arXiv preprint arXiv:0707.0571},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-06-21T08:55:01.691Z