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Maniplexes with automorphism group PSL(2,q)

par Leemans, Dimitri ;Toledo Roy, Micael Alexi
Référence Discrete mathematics, 346, 9, 113527
Publication Publié, 2023-05-23

Article révisé par les pairs

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Résumé :

A maniplex of rank n is a combinatorial object that generalises the notion of a rank n abstract polytope. A maniplex with the highest possible degree of symmetry is called regular. In this paper we prove that there is a rank 4 regular maniplex with automorphism group PSL2(q) for infinitely many prime powers q, and that no regular maniplex of rank n>4 exists that has PSL2(q) as its full automorphism group.