The fractional Galois ideal, Stark elements and class-groups
نویسنده
چکیده
We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using theorems of Büyükboduk, Popescu and Rubin to illustrate how one can obtain information about the Fitting ideals of class-groups from the fractional Galois ideal. 2000 Mathematics Subject Classification: Primary 11R42; Secondary 11R29.
منابع مشابه
The fractional Galois ideal , Stark elements and class - groups Paul Buckingham
We refine the definition of the fractional Galois ideal introduced in [Paul Buckingham. The canonical fractional Galois ideal at s = 0. J. Number Theory, 128(6):1749–1768, 2008] which was based on Snaith’s fractional ideal, allowing us to give a general relationship of this object with the Stark elements appearing in Rubin’s integral sharpening of Stark’s Conjecture. We motivate this by using a...
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