References of "J. Combin. Theory Ser. A"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailOn the number of abstract regular polytopes whose automorphism group is a Suzuki simple group $ Sz(q)$
Kiefer, Ann UL; Leemans, D.

in J. Combin. Theory Ser. 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: 11 (0 UL)