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On chiral polytopes having a group PSL(3,q) as automorphism group

par Leemans, Dimitri ;Vandenschrick, Adrien
Référence Journal of the London Mathematical Society, 106, 1, page (85-111)
Publication Publié, 2022-05-01

Article révisé par les pairs

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Résumé :

For each prime power (Formula presented.), we construct a rank four chiral polytope that has a group (Formula presented.) as automorphism group and Schläfli type (Formula presented.). We also construct rank five polytopes for some values of (Formula presented.) and we show that there is no chiral polytope of rank at least six having a group (Formula presented.) or (Formula presented.) as automorphism group.