The monodromy group of a truncated simplex

DOI10.1007/s10801-015-0600-7zbMath1331.51020OpenAlexW318684809MaRDI QIDQ887940

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

Publication date: 4 November 2015

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

Full work available at URL: https://doi.org/10.1007/s10801-015-0600-7

zbMATH Keywords

coveringmonodromy groupsimplexabstract polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (5)

Stratified operations on maniplexes ⋮ The monodromy group of a truncated simplex ⋮ Pyramids Over Regular 3-Tori ⋮ Open problems on \(k\)-orbit polytopes ⋮ Fully truncated simplices and their monodromy groups

Uses Software

• GAP

Cites Work

• Finite polytopes have finite regular covers
• The graphicahedron
• The monodromy group of a truncated simplex
• Representing the sporadic Archimedean polyhedra as abstract polytopes
• Regular incidence-polytopes with Euclidean or toroidal faces and vertex- figures
• All polytopes are quotients, and isomorphic polytopes are quotients by conjugate subgroups
• Parallel products in groups and maps
• An atlas of small regular abstract polytopes
• Abstract Regular Polytopes
• Symmetric graphicahedra
• Mixing and monodromy of abstract polytopes
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