Galois module structure for Artin-Schreier theory over bicyclic extensions
Heller, Lauren
lheller@wellesley.edu
creator
Schultz, Andrew
advisor
Mathematics
department
Academic theses
2017
2017
2017
born digital
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.
WCTC_2017_HellerLauren_Galoismodulestructur
thesiscollection:440