On the Iwasawa algebra for pro-l Galois groups
Number Theory
2010-11-25 v1
Abstract
Let l be an odd prime and K/k a Galois extension of totally real number fields with Galois group G such that K/k_\infty and k/Q are finite. We give a full description of the algebraic structure of the semisimple algebra QG=Quot(\Lambda G) for pro-l Galois groups G with \Lambda G = Z_l[[G]] the Iwasawa algebra. We moreover compute the cohomological dimension of the centres of the Wedderburn components of QG and state some results on the completion of QG.
Keywords
Cite
@article{arxiv.1011.5497,
title = {On the Iwasawa algebra for pro-l Galois groups},
author = {Irene Lau},
journal= {arXiv preprint arXiv:1011.5497},
year = {2010}
}