The simplicial complex of graphs of groups
Abstract
Graphs of groups with length functions are defined to parametrize simplicial Gtrees. Collapses of graphs of groups define a partial order and a simplicial structure on the set of simplicial G-trees. There is a bijective continuous map from this simplicial complex to the space of non-abelian simplicial projective translation length functions of G. Any two small splittings of
are connected by a sequence of blow ups and collapses.
![F<sub>n</sub>](http://siba-ese.unile.it/plugins/generic/latexRender/cache/989643e60d24a0e244c55d2a2f87cde5.png)
DOI Code:
10.1285/i15900932v16n1p117
Full Text: PDF