Finite polytopes have finite regular covers

DOI10.1007/s10801-013-0479-0zbMath1310.51020arXiv1209.1167OpenAlexW1969831346MaRDI QIDQ402930

Egon Schulte, Barry Monson

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1209.1167

zbMATH Keywords

coversmonodromy groupregular polytopesabstract polytopes

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items (8)

The monodromy group of a truncated simplex ⋮ Polytopes with preassigned automorphism groups ⋮ Pyramids Over Regular 3-Tori ⋮ Cube-like incidence complexes and their groups ⋮ Mixing and monodromy of abstract polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ Fully truncated simplices and their monodromy groups ⋮ Polytopality of maniplexes

Uses Software

• GAP

Cites Work

• Unnamed Item
• Mixing regular convex polytopes
• On arranging regular incidence-complexes as faces of higher-dimensional ones
• Extensions of regular polytopes with preassigned Schläfli symbol
• All polytopes are quotients, and isomorphic polytopes are quotients by conjugate subgroups
• Parallel products in groups and maps
• Abstract Regular Polytopes
• Developments and open problems on chiral polytopes
• Mixing and monodromy of abstract polytopes

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