Date

2017

Department or Program

Mathematics

Primary Wellesley Thesis Advisor

Andrew Schultz

Abstract

If K/F is a Galois field extension with Galois group of prime power order distinct from char(F), then Gal(K/F) acts on pth power classes of K. The structure of the resulting module is known for Gal(K/F) isomorphic to a cyclic group of prime power order or the Klein 4-group. We use Artin-Schreier theory to produce a similar decomposition for characteristic p extensions with bicyclic Galois groups of exponent p.

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