Geodesic
C-groups of Suzuki type
Journal of Algebraic Combinatorics, Tome 42 (2015) no. 3, pp. 849-860.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove that the only C-groups constructed from an almost simple group $G$ of Suzuki type are of rank 3. Moreover, we show that in all cases, $G$ must be simple and that there exist always a string C-group and a non-string C-group for $\mathrm{Sz}(q)$.
Classification : 51M20, 20D06
Keywords: Suzuki groups, C-groups, thin geometries, abstract regular polytopes 
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     author = {Connor, Thomas and Leemans, Dimitri},
     title = {C-groups of {Suzuki} type},
     journal = {Journal of Algebraic Combinatorics},
     pages = {849--860},
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     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2015__42_3_a2/}
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Connor, Thomas; Leemans, Dimitri. C-groups of Suzuki type. Journal of Algebraic Combinatorics, Tome 42 (2015) no. 3, pp. 849-860. http://geodesic.mathdoc.fr/item/JAC_2015__42_3_a2/