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.

引用

页数：8

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