English

Rigidity property of diagram groups

Group Theory 2007-05-23 v1 Algebraic Topology

Abstract

We show a rigid connection between two classical objects: the R.Thompson group F and the Dunce hat. A diagram group of a directed 2-complex contains a copy of F if and only if the complex contains a copy of the Dunce hat.

Cite

@article{arxiv.math/0005105,
  title  = {Rigidity property of diagram groups},
  author = {Victor Guba and Mark Sapir},
  journal= {arXiv preprint arXiv:math/0005105},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T16:32:38.456Z