English

The infinite associahedron and R.J. Thompson's group T

Group Theory 2013-03-21 v2

Abstract

In this paper we construct a cellular complex which is an infinite analogue to Stasheff's associahedra. We prove that it is contractible and state that its (combinatorial) automorphism group is isomorphic to a semi-direct product of R.J. Thompson's group TT with Z/2Z\mathbb{Z}/2\mathbb{Z}.

Keywords

Cite

@article{arxiv.1303.4374,
  title  = {The infinite associahedron and R.J. Thompson's group T},
  author = {Ariadna Fossas},
  journal= {arXiv preprint arXiv:1303.4374},
  year   = {2013}
}