{"title":"Galois module structure for Artin-Schreier theory over bicyclic extensions","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.","call-number":"","collection-title":"","container-title":"","DOI":"","edition":"","event":"","event-place":"","ISBN":"","volume":"0","issue":"0","note":"","number":"","page":"","publisher":"","publisher-place":"","URL":"","number-pmid":"","number-pmcid":"","number-nihmsid":"","type":"article-journal","issued":{"date-parts":[["2017"]]}}