论文标题
在具有PSL组（3，Q）的手性多面体上作为自动形态组
On chiral polytopes having a group PSL(3,q) as automorphism group
论文作者
论文摘要
对于每个Prime Power $ Q \ geq 5 $，我们构建了一个排名第四的手性多层，该级$ psl（3，q）$作为自动形态组和Schläflitype $ \ {q-1，\ frac {2（q-1）}} {（3，q-1）}，q-1}，q-1 \} $。我们还为$ Q $的某些值构建了五个副本，并且我们表明，没有手性级别的排名至少六个具有组$ psl（3，q）$或$ psu（3，q）$作为自动形态组。
For each prime power $q\geq 5$, we construct a rank four chiral polytope that has a group $PSL(3,q)$ as automorphism group and Schläfli type $\{q-1,\frac{2(q-1)}{(3,q-1)},q-1\}$. We also construct rank five polytopes for some values of $q$ and we show that there is no chiral polytope of rank at least six having a group $PSL(3,q)$ or $PSU(3,q)$ as automorphism group.
