Iwasawa theory of totally real fields for certain non-commutative $p$-extensions

Mathematics – Number Theory

Scientific paper

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77pages

Scientific paper

10.1016/j.jnt.2009.08.008

In this paper, we prove the Iwasawa main conjecture of totally real fields
for certain specific non-commutative $p$-adic Lie extensions, using the
integral logarithms introduced by Oliver and Taylor. Our result gives certain
generalization of Kazuya Kato's proof of the main conjecture for Galois
extensions of Heisenberg type.

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