English

Patterns theory and geodesic automatic structure for a class of groups

Group Theory 2012-05-16 v1

Abstract

We introduce a theory of "patterns" in order to study geodesics in a certain class of group presentations. Using patterns we show that there does not exist a geodesic automatic structure for certain group presentations, and that certain group presentations are almost convex.

Keywords

Cite

@article{arxiv.math/0611876,
  title  = {Patterns theory and geodesic automatic structure for a class of groups},
  author = {Murray J Elder},
  journal= {arXiv preprint arXiv:math/0611876},
  year   = {2012}
}

Comments

Appeared in 2003. I am putting all my past papers on arxiv