Geodesic
Cube-like incidence complexes and their groups
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 248-264

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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. 
@article{TM_2015_288_a16,
     author = {Andrew C. Duke and Egon Schulte},
     title = {Cube-like incidence complexes and their groups},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {248--264},
     publisher = {mathdoc},
     volume = {288},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_288_a16/}
}
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Andrew C. Duke; Egon Schulte. Cube-like incidence complexes and their groups. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 248-264. http://geodesic.mathdoc.fr/item/TM_2015_288_a16/