Galois Groups and Greenberg’s Conjecture
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منابع مشابه
GREENBERG'S CONJECTURE AND UNITS IN MULTIPLE Zp-EXTENSIONS
Let A be the inverse limit of the p-part of the ideal class groups in a Zpextension K∞/K. Greenberg conjectures that if r is maximal, then A is pseudo-null as a module over the Iwasawa algebra Λ (that is, has codimension at least 2). We prove this conjecture in the case that K is the field of p-th roots of unity, p has index of irregularity 1, satisfies Vandiver’s conjecture, and satisfies a mi...
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تاریخ انتشار 2000