![]() ; ; Schlenker, Jean-Marc ![]() in Journal of Combinatorial Theory. Series A (2011), 118(3), 778--795 Detailed reference viewed: 100 (2 UL)![]() Kiefer, Ann ![]() in Journal of Combinatorial Theory. Series A (2010), 117(8), 1248--1257 We determine, up to isomorphism and duality, the number of abstract regular polytopes of rank three, whose automorphism group is a Suzuki simple group Sz(q), with q an odd power of 2. No polytope of ... [more ▼] We determine, up to isomorphism and duality, the number of abstract regular polytopes of rank three, whose automorphism group is a Suzuki simple group Sz(q), with q an odd power of 2. No polytope of higher rank exists and therefore, the formula obtained counts all polytopes of Sz(q). Moreover, there are no degenerate polyhedra. We also obtain, up to isomorphism, the number of pairs of involutions. [less ▲] Detailed reference viewed: 41 (1 UL) |
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