David Betzer

Affine Galois Closures, Ray-Class Quotients, and Radical-Field Ramification over Real Quadratic Fields

This preprint develops the local and global arithmetic of affine Galois closures arising from radicals of units in real quadratic fields. Let F/ℚ be a real quadratic field, let ε ∈ O_F× be a fundamental unit, and let ℓ be an odd prime. The principal objects are the radical field...