On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group $ Sz(q)$

Reference : On the number of abstract regular polytopes whose automorphism group is a Suzuki simp...


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/45740

Title :	On the number of abstract regular polytopes whose automorphism group is a Suzuki simple group $ Sz(q)$
Language :	English
Author, co-author :	Kiefer, Ann [University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET]
	Leemans, D. [> >]
Publication date :	2010
Journal title :	Journal of Combinatorial Theory. Series A
Volume :	117
Issue/season :	8
Pages :	1248--1257
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0097-3165
Abstract :	[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.
Permalink :	http://hdl.handle.net/10993/45740
DOI :	10.1016/j.jcta.2010.01.001
Other URL :	http://dx.doi.org/10.1016/j.jcta.2010.01.001

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