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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.Comment: Proceedings of the Steklov Mathematical Institute (to appear