The algorithms for recognizing Frobenius elements in Galois groups are described in [DD10]. They rely on the cycle type identification, Serre's trick for alternating groups and the general machinery from [DD10]. Magma is usually able to handle Galois groups of size <10000 acting on a small number of points easily, and much larger special groups such as An and Sn.
[Next][Prev] [Right] [Left] [Up] [Index] [Root]