## An efficient algorithm for the computation of Galois automorphisms.(English)Zbl 1094.11045

Summary: We describe an algorithm for computing the Galois automorphisms of a Galois extension which generalizes the algorithm of Acciaro and Klüners to the non-Abelian case. This is much faster in practice than algorithms based on LLL or factorization.

### MSC:

 11Y40 Algebraic number theory computations 11R32 Galois theory 12F10 Separable extensions, Galois theory

### Software:

KANT/KASH; PARI/GP; Magma
Full Text:

### References:

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