How to get the Galois group as a permutation group

asked 2026-02-09 20:10:53 +0100

sagelearner gravatar image

updated 2026-02-10 07:31:01 +0100

Max Alekseyev gravatar image

I was trying to convert a Galois group of a number field as a permutation group. I did this:

G=graphs.CycleGraph(5)

L=G.spectrum()

a = L

K, a_in_K, hom = number_field_elements_from_algebraics(a, minimal=True)

K.galois_group()

X.as_permutation_group()

However the last command returns error. Please help

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Comments

Try PermutationGroup(X.gens()) instead.

Max Alekseyev gravatar imageMax Alekseyev ( 2026-02-10 07:39:13 +0100 )edit

Thank you for the help. However it returns error when the group is trivial. Otherwise it works fine.

sagelearner gravatar imagesagelearner ( 2026-02-10 18:21:36 +0100 )edit

The case of trivial group works for me in SageMath version 10.9.beta7. What error do you get ?

FrédéricC gravatar imageFrédéricC ( 2026-02-28 08:42:00 +0100 )edit
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