Decomposing CAT(0) Cube Complexes

O'Donnell, Christopher.

2017

Description
  • Abstract: By work of Caprace and Sageev ([CS11]), every finite-dimensional CAT(0) cube complex X has a canonical product decomposition X = X 1 ×· · ·×X n into irreducible factors and any group G which acts on X must have a finite index subgroup which embeds in Aut(X 1 ) × · · · × Aut(X n ). We explore the natural followup questions, "If G = G 1 × · · · × G n acts geometrically and essentially on a... read more
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