Fully truncated simplices and their monodromy groups

DOI10.1515/advgeom-2017-0047zbMath1494.52012OpenAlexW2789648456MaRDI QIDQ1747156

Barry Monson, Leah Wrenn Berman, Deborah Oliveros, Gordon Ian Williams

Publication date: 4 May 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0047

zbMATH Keywords

monodromy groupsimplexabstract polytope

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Symmetry properties of polytopes (52B15)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Finite polytopes have finite regular covers
• Semiregular polytopes and amalgamated C-groups
• Minimal covers of the prisms and antiprisms
• The monodromy group of a truncated simplex
• All polytopes are quotients, and isomorphic polytopes are quotients by conjugate subgroups
• More on quotient polytopes
• Parallel products in groups and maps
• An atlas of small regular abstract polytopes
• Abstract Regular Polytopes
• Mixing and monodromy of abstract polytopes

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