English

The word and order problems for self-similar and automata groups

Group Theory 2017-11-28 v4 Logic in Computer Science

Abstract

We prove that the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting.

Keywords

Cite

@article{arxiv.1710.10109,
  title  = {The word and order problems for self-similar and automata groups},
  author = {Laurent Bartholdi and Ivan Mitrofanov},
  journal= {arXiv preprint arXiv:1710.10109},
  year   = {2017}
}

Comments

Fixed broken references