English

Generalized Small Cancellation Presentations for Automatic Groups

Group Theory 2014-07-01 v1

Abstract

By a result of Gersten and Short finite presentations satisfying the usual non-metric small cancellation conditions present biautomatic groups. We show that in the case in which all pieces have length one, a generalization of the C(3)-T(6) condition yields a larger collection of biautomatic groups.

Keywords

Cite

@article{arxiv.1406.7414,
  title  = {Generalized Small Cancellation Presentations for Automatic Groups},
  author = {Robert H. Gilman},
  journal= {arXiv preprint arXiv:1406.7414},
  year   = {2014}
}
R2 v1 2026-06-22T04:50:06.174Z