English

Regular geodesic normal forms in virtually abelian groups

Group Theory 2009-09-25 v1

Abstract

Cannon has given an example of a virtually abelian group and a generating set where the full language of geodesics is not regular. We describe a virtually abelian group and a generating set so that no regular language of geodesics surjects to the group.

Keywords

Cite

@article{arxiv.math/9702203,
  title  = {Regular geodesic normal forms in virtually abelian groups},
  author = {Walter Neumann and Michael Shapiro},
  journal= {arXiv preprint arXiv:math/9702203},
  year   = {2009}
}

Comments

AMS-TeX file, 3 pages