It appears that NumberField().galois_group() does not always compute with the Galois closure of the field, although the doc says: "Return the Galois group of the Galois closure of this number field".
sage: K.<a> = NumberField(x^4 - 2) sage: K.galois_group(names='bbb').degree() 8 sage: K.galois_group(type="gap",names='bbb') Galois group Transitive group number 3 of degree 4 of the Number Field in a with defining polynomial x^4 - 2 In the first case one gets a transitive group on 8 points, and in the second case on 4 points. Is this a bug? I ran into this while working on #16243. Thanks, Dima -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
