Regular polyhedra related to projective linear groups

DOI10.1016/0012-365X(91)90107-DzbMath0746.52016MaRDI QIDQ1182578

Peter McMullen

Publication date: 28 June 1992

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

zbMATH Keywords

Petrie polygonblending operation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Polyhedra and polytopes; regular figures, division of spaces (51M20) Polyhedral manifolds (52B70) Other matrix groups over finite fields (20H30)

Related Items (7)

Reflection groups and polytopes over finite fields. I. ⋮ Reflection groups and polytopes over finite fields. II. ⋮ Realizations of regular polytopes. III ⋮ Groups of type L ₂(q) acting on polytopes ⋮ Realizations of abstract regular polytopes from a representation theoretic view ⋮ Polytopes related to the Picard group ⋮ Polyhedrons and PBIBDs from hyperbolic manifolds

Cites Work

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• Constructions for regular polytopes
• Regular polytopes from twisted Coxeter groups and unitary reflexion groups
• Regular polytopes from twisted Coxeter groups
• Realizations of regular polytopes
• A note on the automorphism group of certain polyhedra
• A Polyhedral Realization of Felix Klein's Map {3, 7}₈ on a Riemann Surface of Genus 3
• The Abstract Groups G m,n,p

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