Fixed points of induced automorphisms of hypermaps

AbstractWe prove a formula that gives a relationship between the number of fixed points of an automorphism of a quotient hypermap and that of its liftings

Cohomological Constructions of Regular Cyclic Coverings of the Platonic Maps

AbstractIn we described the regular maps and hypermaps which are cyclic coverings of the Platonic maps, branched over the face centers, vertices or midpoints of edges. Here we determine cochains by which these coverings can be explicitly constructed