Maniplexes with automorphism group PSL(2, q)

被引：0
|
作者：
Leemans, Dimitri [1 ]
Toledo, Micael [1 ]
机构：
[1] Univ Libre Bruxelles, Dept Math, CP 216 Algebre & Combinatoire,Blvd Triomphe, B-1050 Brussels, Belgium
来源：
DISCRETE MATHEMATICS | 2023年 / 346卷 / 09期
关键词：
Regular maniplex; Polytope; Projective linear group; Automorphism group; POLYTOPES; MAPS;
D O I：
10.1016/j.disc.2023.113527
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：8
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