English

Autostackability of Thompson's group $F$

Group Theory 2018-11-29 v1 Formal Languages and Automata Theory

Abstract

The word problem for Thompson's group FF has a solution, but it remains unknown whether FF is automatic or has a finite or regular convergent (terminating and confluent) rewriting system. We show that the group FF admits a natural extension of these two properties, namely autostackability, and we give an explicit bounded regular convergent prefix-rewriting system for FF.

Keywords

Cite

@article{arxiv.1811.11691,
  title  = {Autostackability of Thompson's group $F$},
  author = {Nathan Corwin and Gili Golan and Susan Hermiller and Ashley Johnson and Zoran Sunic},
  journal= {arXiv preprint arXiv:1811.11691},
  year   = {2018}
}

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21 pages