A generalization of Marshall's equivalence relation

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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 languageEnglish
Pages (from-to)2561-2577
Number of pages17
JournalTransactions of the American Mathematical Society
Volume358
Issue number6
DOIs
StatePublished - 1 Jun 2006

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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