Classification of W-groups of Pythagorean formally real fields

Fatemeh Bagherzadeh Golmakani, The University of Western Ontario

Abstract

In this work we consider the Galois point of view in determining the structure of
a space of orderings of fields via considering small Galois quotients of absolute Galois
groups G _F of Pythagorean formally real fields. Galois theoretic, group theoretic and
combinatorial arguments are used to reduce the structure of W-groups.