Maniplexes with automorphism group PSL(2, q)

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.& COPY; 2023 Elsevier B.V. All rights reserved.