On the Iwasawa algebra for pro-l Galois groups

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(ΛG) for pro-l Galois groups G with ΛG = 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.

References in corpus (2)

• The main conjecture of Iwasawa theory for totally real fields
• On the 'main conjecture' of equivariant Iwasawa theory