English

Characterizing Biautomatic Groups

Group Theory 2021-05-18 v1

Abstract

This paper corrects the characterisation of biautomatic groups presented in Lemma 2.5.5 in the book Word Processing in Groups by Epstein et al. We present a counterexample to the lemma, and we reformulate the lemma to give a valid characterisation of biautomatic groups.

Cite

@article{arxiv.2105.07509,
  title  = {Characterizing Biautomatic Groups},
  author = {Aischa Amrhein},
  journal= {arXiv preprint arXiv:2105.07509},
  year   = {2021}
}
R2 v1 2026-06-24T02:09:33.553Z