Abstract
Let $p$ be an odd prime number. We show that the Iwasawa invariants of a certain non-abelian $p$-extension fields of $\mathbf{Q}$ vanish. And we construct non-abelian $p$-extensions over some imaginary quadratic fields satisfying Leopoldt's conjecture on the $p$-adic regulator.
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Schedule a callMore From: Proceedings of the Japan Academy, Series A, Mathematical Sciences
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