Abstract | ||
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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 |
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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. Hartley | 1 | 47 | 8.06 |
Dimitri Leemans | 2 | 38 | 15.96 |