Title
On locally spherical polytopes of type {5, 3, 5}
Abstract
There are only finitely many locally projective regular polytopes of type {5, 3, 5}. They are covered by a locally spherical polytope whose automorphism group is J\"1xJ\"1xL\"2(19), where J\"1 is the first Janko group, of order 175560, and L\"2(19) is the projective special linear group of order 3420. This polytope is minimal, in the sense that any other polytope that covers all locally projective polytopes of type {5, 3, 5} must in turn cover this one.
Year
DOI
Venue
2009
10.1016/j.disc.2007.12.084
Discrete Mathematics
Keywords
Field
DocType
hyperbolic tessellation,quotient polytope,abstract regular polytope,first janko group,locally spherical polytope,locally projective polytope
Discrete mathematics,Birkhoff polytope,Combinatorics,Janko group,Quotient,Uniform k 21 polytope,Special linear group,Polytope,Tessellation,Mathematics,Regular polytope
Journal
Volume
Issue
ISSN
309
1
Discrete Mathematics
Citations 
PageRank 
References 
2
0.39
2
Authors
2
Name
Order
Citations
PageRank
Michael I. Hartley1478.06
Dimitri Leemans23815.96