Abstract
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.
Original language | English |
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Pages (from-to) | 2561-2577 |
Number of pages | 17 |
Journal | Transactions of the American Mathematical Society |
Volume | 358 |
Issue number | 6 |
DOIs | |
State | Published - 1 Jun 2006 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics