• DOI:10.1007/BF01239522
Corpus ID: 121136037

Bounding the complexity of simplicial group actions on trees

@article{Bestvina1991BoundingTC,
  title={Bounding the complexity of simplicial group actions on trees},
  author={M. Bestvina and M. Feighn},
  journal={Inventiones mathematicae},
  year={1991},
  volume={103},
  pages={449-469}
}

• M. Bestvina, M. Feighn
• Published 1991
• Mathematics
• Inventiones mathematicae

We shall state the main result of this paper in terms of group actions on simplicial trees. Suppose that a group G acts simplicially on a tree T without inversions. For brevity we say that Tis a G-tree. Then the orbit space T/G is a graph whose vertices and edges correspond to G-equivalence classes of vertices and edges in T. Each vertex and edge in T/G is labeled by the stabilizer of a representative of the corresponding equivalence class. This label, a subgroup of G, is well-defined only up… Expand