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A generalization of Marshall's equivalence relation |
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| Authors: | Ido Efrat |
| Affiliation: | Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Be'er-Sheva 84105, Israel |
| Abstract: | For  prime and for a field  containing a root of unity of order  , we generalize Marshall's equivalence relation on orderings to arbitrary subgroups of  of index  . The equivalence classes then correspond to free pro- factors of the maximal pro- Galois group of  . We generalize to this setting results of Jacob on the maximal pro- Galois group of a Pythagorean field. |
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