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math.NT2015
Quintic algebras over Dedekind domains and their sextic resolvents
Evan M. O'Dorney
Bhargava parametrized quintic rings over by quadruples of alternating matrices. We extend the construction to work similarly over any Dedekind domain .…
math.NT2015★ 5 cited
Rings of small rank over a Dedekind domain and their ideals
Evan O'Dorney
In 2001, M. Bhargava stunned the mathematical world by extending Gauss's 200-year-old group law on integral binary quadratic forms, now familiar as the ideal class group of a quadr…