Two atlases of abstract chiral polytopes for small groups
From MaRDI portal
Publication:4906184
DOI10.26493/1855-3974.204.f8bzbMath1263.51015OpenAlexW1754199053WikidataQ129338018 ScholiaQ129338018MaRDI QIDQ4906184
Dimitri Leemans, Isabel Hubard, Michael Ian Hartley
Publication date: 7 February 2013
Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.26493/1855-3974.204.f8b
Geometric group theory (20F65) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)
Related Items (13)
Chiral polyhedra arising from almost simple groups with socle \(PSL(2,q)\) ⋮ Highly symmetric hypertopes ⋮ Projective linear groups as automorphism groups of chiral polytopes ⋮ Medial symmetry type graphs ⋮ More on chiral polytopes of type \(\{4,4,\dots,4\}\) with solvable automorphism groups ⋮ Construction of chiral 4-polytopes with alternating or symmetric automorphism group ⋮ On chiral polytopes having a group PSL(3,q)$\mathrm{PSL}(3,q)$ as automorphism group ⋮ Three infinite families of chiral 4-polytopes with symmetric automorphism groups ⋮ Mixing and monodromy of abstract polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ A new algorithm to classify chiral polytopes with a given automorphism group ⋮ Some simplifications of the intersection condition of chiral form for polytopes ⋮ Chiral Polytopes and Suzuki Simple Groups
Uses Software
This page was built for publication: Two atlases of abstract chiral polytopes for small groups
