论文标题
Hurwitz组为Dessins的单型组:几个例子
Hurwitz groups as monodromy groups of dessins: several examples
论文作者
论文摘要
我们提出了许多示例,以说明使用小商的使用用作其通常更大,更复杂的Galois(最小规则)盖的替代品。为此,我们采用了几种有用的群体理论技术,例如在有限组中计数三元组的Frobenius角色公式,指出了与之相关的一些常见陷阱和误解。尽管我们的示例都是从Hurwitz曲线和群体中选择的,但它们与任何类型的Dessins都相关。
We present a number of examples to illustrate the use of small quotient dessins as substitutes for their often much larger and more complicated Galois (minimal regular) covers. In doing so we employ several useful group-theoretic techniques, such as the Frobenius character formula for counting triples in a finite group, pointing out some common traps and misconceptions associated with them. Although our examples are all chosen from Hurwitz curves and groups, they are relevant to dessins of any type.