论文标题
带有自动形态组的操纵组$ \ textrm {psl} _2（q）$
Maniplexes with automorphism group $\textrm{PSL}_2(q)$
论文作者
论文摘要
等级$ n $的操纵是一个组合对象，它概括了等级$ n $抽象多层的概念。可能的对称程度最高的操纵称为反复体。在本文中，我们证明有一个排名$ 4 $反复的手术，带有自动形态的$ \ textrm {psl} _2（q）_2（q）$，用于无限的许多Prime Powers $ Q $，并且没有排名$ n> 4 $的可反转手机，其具有$ \ textrm {pslm {psl} _2 _2（q）$组成。
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 reflexible. In this paper we prove that there is a rank $4$ reflexible maniplex with automorphism group $\textrm{PSL}_2(q)$ for infinitely many prime powers $q$, and that no reflexible maniplex of rank $n > 4$ exists that has $\textrm{PSL}_2(q)$ as its full automorphism group.
