English

Biautomatic structures in systolic Artin groups

Group Theory 2018-07-10 v1

Abstract

We examine the construction of Huang and Osajda that was used in their proof of the biautomaticity of Artin groups of almost large type. We describe a slightly simpler variant of that biautomatic structure, with explicit descriptions of a few small examples, and we examine some of the properties of the structure. We explain how the construction can be programmed within the GAP system.

Cite

@article{arxiv.1807.02532,
  title  = {Biautomatic structures in systolic Artin groups},
  author = {Sarah Rees and Derek Holt},
  journal= {arXiv preprint arXiv:1807.02532},
  year   = {2018}
}
R2 v1 2026-06-23T02:53:16.978Z