论文标题
使用Galois理论的结构
Constructions using Galois Theory
论文作者
论文摘要
我们描述了算法以计算固定字段，分裂字段和根部扩展的塔，而无需在塔中使用多项式分解或构造包含分裂场的任何字段，而是为此任务扩展Galois组计算。我们还描述了几何galois组（单模组）的计算及其在计算绝对因素化中的使用。
We describe algorithms to compute fixed fields, splitting fields and towers of radical extensions without using polynomial factorisation in towers or constructing any field containing the splitting field, instead extending Galois group computations for this task. We also describe the computation of geometric Galois groups (monodromy groups) and their use in computing absolute factorizations.
