论文标题
Belyi Maps Arboreal Galois小组的独特首席系列
A Unique Chief Series in the arboreal Galois Group of Belyi Maps
论文作者
论文摘要
我们完整描述了Belyi地图的树木galois组的正常亚组。正常组构成了独特的主要系列。我们还仔细计算了多项式减去代数数的迭代率的区分，这使我们可以预测何时歧视是基础场或中间场中的完美正方形，用于后危机有限的多项式（PCF）。结果，我们能够找到另一个具有与Belyi地图之一的树木galois组相同的PCF立方多项式。
We give a complete description of the normal subgroups of arboreal Galois groups of Belyi maps. The normal groups form a unique chief series. We also carefully compute the discriminate of the iterate of a polynomial minus an algebraic number, which allows us to predict when a such discriminate is a perfect square in the base field or intermediate field for a postcritically finite polynomials (PCF). As a consequence we are able to find another PCF cubic polynomial that has the same arboreal Galois group as the one of Belyi maps.
