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245 10|aGalois module structure for Artin-Schreier theory over bicyclic extensions
100 1 |aHeller, Lauren|ecreator|ulheller@wellesley.edu
700 1 |aSchultz, Andrew|eadvisor
710 2 |aMathematics|edepartment
655 7|aAcademic theses|2lcgft
046 |k2017
260 |g2017
520 |aIf 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.