3 papers
math.CO2025
Semiregular abstract polyhedra with trivial facet stabilizer
Elías Mochán
Abstract polytopes generalize the face lattice of convex polytopes. A polytope is semiregular if its facets are regular and its automorphism group acts transitively on its vertices…
math.CO2023
Symmetries of the Woolly Hat graphs
Leah Wrenn Berman, Hiroki Koike, Elias Mochan +3
A graph is edge-transitive if the natural action of its automorphism group on its edge set is transitive. An automorphism of a graph is semiregular if all of the orbits of the subg…
math.CO2022
All polytopes are coset geometries: characterizing automorphism groups of k-orbit abstract polytopes
Isabel Hubard, Elías Mochán
Abstract polytopes generalize the classical notion of convex polytopes to more general combinatorial structures. The most studied ones are regular and chiral polytopes, as it is we…