English

A list of applications of Stallings automata

Group Theory 2022-06-14 v4

Abstract

This survey is intended to be a fast (and reasonably updated) reference for the theory of Stallings automata and its applications to the study of subgroups of the free group, with the main accent on algorithmic aspects. Consequently, results concerning finitely generated subgroups have greater prominence in the paper. However, when possible, we try to state the results with more generality, including the usually overlooked non-(finitely-generated) case.

Keywords

Cite

@article{arxiv.2109.01268,
  title  = {A list of applications of Stallings automata},
  author = {Jordi Delgado and Enric Ventura},
  journal= {arXiv preprint arXiv:2109.01268},
  year   = {2022}
}

Comments

77 pages, 16 figures (version 1.01)