Cube-like Incidence Complexes and Their Groups
  The article studies power complexes and generalized power complexes, and investigates the algebraic structure of their automorphism groups. The combinatorial incidence structures involved are cube-like, in the sense that they have many structural properties in common with higher-dimensional cubes and cubical tessellations on manifolds. Power complexes have repeatedly appeared in applications. 
Andrew C. Duke and Egon Schulte
math.CO math.MG