English

Conjugacy problem in groups with quadratic Dehn function

Group Theory 2019-10-28 v3

Abstract

We construct a finitely presented group with quadratic Dehn function and undecidable conjugacy problem. This solves E. Rips' problem formulated in 1992. v2: misprints corrected. v3: lemmas 4.7, 4.10 corrected, more misprints fixed.

Keywords

Cite

@article{arxiv.1809.00280,
  title  = {Conjugacy problem in groups with quadratic Dehn function},
  author = {Alexandr Yu. Olshanskii and Mark V. Sapir},
  journal= {arXiv preprint arXiv:1809.00280},
  year   = {2019}
}

Comments

83 pages. arXiv admin note: text overlap with arXiv:1710.00550

R2 v1 2026-06-23T03:51:50.260Z