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Computing Galois groups
From: |
Fabio Stumbo |
Subject: |
Computing Galois groups |
Date: |
Sat, 7 May 2022 16:13:09 +0200 |
User-agent: |
Mozilla/5.0 (X11; Linux x86_64; rv:91.0) Gecko/20100101 Thunderbird/91.8.1 |
Hi,
I am trying to compute some Galois groups with Axiom.
A way is to go after the example given in section 8.13 of the manual
which follows closely and implements the original definition by Galois
of the Galois group.
I am trying a different way: I would like to exploit a theorem by
Kronecker which provides an easy algorithm to compute the Galois group
of a given polynomial.
I wrote the function which implements the algorithm and it works...
sometimes. :(
Which means that I have some problems.
My question is: is there anybody that is willing to help me to fix it if
I post the code?
The code is not very long (about 40-50 lines) but it needs to be
explained, so I am asking before to make the effort.
TIA
Fabio
- Computing Galois groups,
Fabio Stumbo <=