English

The subgroup identification problem for finitely presented groups

Group Theory 2016-10-20 v4 Logic

Abstract

We introduce the subgroup identification problem, and show that there is a finitely presented group G for which it is unsolvable, and that it is uniformly solvable in the class of finitely presented locally Hopfian groups. This is done as an investigation into the difference between strong and weak effective coherence for finitely presented groups.

Keywords

Cite

@article{arxiv.1109.1792,
  title  = {The subgroup identification problem for finitely presented groups},
  author = {Maurice Chiodo},
  journal= {arXiv preprint arXiv:1109.1792},
  year   = {2016}
}

Comments

11 pages. This is the version submitted for publication

R2 v1 2026-06-21T19:01:57.183Z