Doctor of Philosophy
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.
Bagherzadeh Golmakani, Fatemeh, "Classification of W-groups of Pythagorean formally real fields" (2014). Electronic Thesis and Dissertation Repository. 2018.