JP Journal of Algebra, Number Theory and Applications
Volume 9, Issue 1, Pages 95 - 103
(October 2007)
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A NOTE ON P-RANKS OF CLASS GROUPS IN -EXTENSIONS
A. Bandini (Italy)
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Abstract: Let k be a number field, p be a prime number and
be a
-extension. We consider the p-ranks
of the class groups of the layers of K. We show that if
for some n, then the p-ranks are constants from n onwards and we give some immediate connectionswith the computation of the Iwasawa invariants for the extension |
Keywords and phrases: p-ranks of class groups, -extensions. |
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