On number fields with reciprocal integer generators

​Seminar  :  Department of Mathematics
Room      :  FR31 A 1-031
Speaker  ​: Toufik ZAIMI

:Ab​stract​

Let K be an algebraic number field, with degree d; and let G_K be the Galois group of the normal closure of K: It is easy to see that d is even and G_K is a subgroup of the hyperoctahedral group B_{d/2}; when K is generated by a reciprocal algebraic integer. We discuss in this talk the converse problem.​

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