English

The Self-Similarity of Free Semigroups and Groups

Group Theory 2023-03-17 v1 Formal Languages and Automata Theory

Abstract

We give a survey on results regarding self-similar and automaton presentations of free groups and semigroups and related products. Furthermore, we discuss open problems and results with respect to algebraic decision problems in this area.

Keywords

Cite

@article{arxiv.2205.10248,
  title  = {The Self-Similarity of Free Semigroups and Groups},
  author = {Emanuele Rodaro and Jan Philipp Wächter},
  journal= {arXiv preprint arXiv:2205.10248},
  year   = {2023}
}