Automorphism groups of 3-orbit polyhedra

DOI10.1007/s10801-022-01127-0zbMath1498.51022OpenAlexW4293238305MaRDI QIDQ2082520

Elías Mochán, Isabel Hubard

Publication date: 4 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-022-01127-0

zbMATH Keywords

symmetric groupspolyhedraabstract polytopes3-orbit polyhedra

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (2)

Finite 3-orbit polyhedra in ordinary space. I ⋮ All polytopes are coset geometries: characterizing automorphism groups of \(k\)-orbit abstract polytopes

Cites Work

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• Two-orbit convex polytopes and tilings
• Map operations and \(k\)-orbit maps
• Two-orbit polyhedra from groups
• Reguläre Inzidenzkomplexe. II
• Group actions, coverings and lifts of automorphisms
• Polytopality of maniplexes
• Symmetry type graphs of polytopes and maniplexes
• Locally finite, planar, edge-transitive graphs
• Abstract Regular Polytopes
• Developments and open problems on chiral polytopes

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