Eulerian abstract polytopes

DOI10.1007/s00010-011-0071-4zbMath1242.51014OpenAlexW2049466758MaRDI QIDQ719654

Michael Ian Hartley

Publication date: 11 October 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-011-0071-4

zbMATH Keywords

abstract polytoperegular polytopeequivelareulerian poset

Mathematics Subject Classification ID

Geometric group theory (20F65) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Simpler tests for semisparse subgroups
• All polytopes are quotients, and isomorphic polytopes are quotients by conjugate subgroups
• More on quotient polytopes
• Flag vectors of Eulerian partially ordered sets
• Polytopes of finite type
• Locally projective polytopes of type \(\{4,3,\dots,3,p\}\)
• Equivelar maps on the torus
• Signs in the 𝑐𝑑-index of Eulerian partially ordered sets
• Symmetric Tessellations on Euclidean Space-Forms
• Abstract Regular Polytopes

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