For p prime and for a field F containing a root of unity of order p, we generalize Marshall's equivalence relation on orderings to arbitrary subgroups of Fx of index p. The equivalence classes then correspond to free pro-p factors of the maximal pro-p Galois group of F. We generalize to this setting results of Jacob on the maximal pro-2 Galois group of a Pythagorean field.
|Number of pages||17|
|Journal||Transactions of the American Mathematical Society|
|State||Published - 1 Jun 2006|
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics