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

Ariadna Fossas (1)

1 IF - Institut Fourier

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 $T$ with $\mathbb{Z}/2\mathbb{Z}$.

Mots clés: contractible spaces.; Stasheff's associahedra; cellular complexes; automorphism groups; R.J. Thompson's groups; contractible spaces

Domaines: Théorie des groupes [math.GR]

Ariadna Fossas. The infinite associahedron and R.J. Thompson's group T. 2013. ⟨hal-00801808v2⟩