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Results tagged with nt.number-theory
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user 16767
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
0
answers
526
views
Galois groups of quadratic number fields
Is there an algorithm that finds,
given a subgroup $G$ of a finite permutation group $S_n$,
a quadratic number field $K=Q(\sqrt a), a \in Q$ and a Polynom $f \in K[x]$ such that the Galois Group of th …
- 949
5
votes
1
answer
1k
views
Galois groups of number fields
It seems that it is conjectured, that the absolute Galois group of a number field determines already the number field up to isomorphism.
I would like to know if there is a profinite group G such that …
- 949