A generalization of Marshall's equivalence relation

Ido Efrat

doi:10.1090/S0002-9947-05-03776-1

A generalization of Marshall's equivalence relation

Ido Efrat

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 F^x 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
Pages (from-to)	2561-2577
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	358
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-05-03776-1
State	Published - 1 Jun 2006

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-05-03776-1

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title = "A generalization of Marshall's equivalence relation",

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.",

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AB - 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.

UR - https://www.scopus.com/pages/publications/33744759540

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DO - 10.1090/S0002-9947-05-03776-1

M3 - Article

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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A generalization of Marshall's equivalence relation

Abstract

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