English

Quadratic equations over free groups are NP-complete

Group Theory 2014-03-27 v1

Abstract

We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.

Keywords

Cite

@article{arxiv.0802.3839,
  title  = {Quadratic equations over free groups are NP-complete},
  author = {O. Kharlampovich and I. G. Lysenok and A. G Myasnikov and N. W. M. Touikan},
  journal= {arXiv preprint arXiv:0802.3839},
  year   = {2014}
}
R2 v1 2026-06-21T10:16:04.201Z