Galois extensions ramified only at one prime
Abstract
This paper gives some restrictions on finite groups that can occur as Galois groups of extensions over and over q(t) ramified only at one finite prime. Over , we strengthen results of Jensen and Yui about dihedral extensions and rule out some non-solvable groups. Over q(t) restrictions are given for symmetric groups and dihedral groups to occur as tamely ramified extension over q(t) ramified only at one prime.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.