English

Arbitrarily large finite quotients imply no uniform bound on depth

Group Theory 2007-05-23 v1

Abstract

We show that any group with arbitrarily large finite quotients admits generating sets with respect to which it has arbitrarily large finite dead-end depth. This extends a joint result with Riley and partially answers a question asked there.

Keywords

Cite

@article{arxiv.math/0602174,
  title  = {Arbitrarily large finite quotients imply no uniform bound on depth},
  author = {Andrew D. Warshall},
  journal= {arXiv preprint arXiv:math/0602174},
  year   = {2007}
}

Comments

3 pages, no figures