Iwasawa theory of totally real fields for certain non-commutative $p$-extensions
Number Theory
2010-03-12 v2 K-Theory and Homology
Abstract
In this paper, we prove the Iwasawa main conjecture of totally real fields for certain specific non-commutative -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.
Keywords
Cite
@article{arxiv.0803.0211,
title = {Iwasawa theory of totally real fields for certain non-commutative $p$-extensions},
author = {Takashi Hara},
journal= {arXiv preprint arXiv:0803.0211},
year = {2010}
}
Comments
77pages