Reference : On the number of abstract regular polytopes whose automorphism group is a Suzuki simp...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/45740
On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group $ Sz(q)$
English
Kiefer, Ann mailto [University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET]
Leemans, D. mailto [> >]
2010
Journal of Combinatorial Theory. Series A
117
8
1248--1257
Yes (verified by ORBilu)
0097-3165
[en] 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.
http://hdl.handle.net/10993/45740
10.1016/j.jcta.2010.01.001
http://dx.doi.org/10.1016/j.jcta.2010.01.001

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