English

On Shephard Groups with Large Triangles

Group Theory 2010-09-21 v2

Abstract

Shephard groups are common extensions of Artin and Coxeter groups. They appear, for example, in algebraic study of manifolds. An infinite family of Shephard groups which are not Artin or Coxeter groups is considered. Using techniques form small cancellation theory we show that the groups in this family are bi-automatic.

Keywords

Cite

@article{arxiv.0901.0094,
  title  = {On Shephard Groups with Large Triangles},
  author = {Uri Weiss},
  journal= {arXiv preprint arXiv:0901.0094},
  year   = {2010}
}

Comments

30 pages, 11 PDF figures

R2 v1 2026-06-21T11:56:53.357Z