The Degrees of Regular Polytopes of Type [4, 4, 4]

DOI10.1137/20M1375012zbMath1494.52010OpenAlexW4280611015MaRDI QIDQ5864210

Maria Elisa Fernandes, Claudio Alexandre Piedade

Publication date: 3 June 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1375012

zbMATH Keywords

permutation groupsabstract regular polytopestoroidal regular maps

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) General theory for finite permutation groups (20B05)

Uses Software

• GAP

Cites Work

• Unnamed Item
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• Polytopes of high rank for the alternating groups
• Polytopes of high rank for the symmetric groups
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• Faithful permutation representations of toroidal regular maps
• Correction to: ``Faithful permutation representations of toroidal regular maps
• An exploration of locally spherical regular hypertopes
• CPR graphs and regular polytopes
• An atlas of small regular abstract polytopes
• All Alternating Groups $A_n$ with $n\geq12$ Have Polytopes of Rank $\lfloor\frac{n-1}{2}\rfloor$
• Abstract Regular Polytopes
• An extension of the classification of high rank regular polytopes
• The degrees of toroidal regular proper hypermaps
• String C-group representations of alternating groups
• Highest rank of a polytope for An

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