Mathematics – Number Theory
Scientific paper
2008-03-03
J. Number theory, 130, Issue 4 (2010) 815-1116
Mathematics
Number Theory
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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