On the Iwasawa algebra for pro-l Galois groups

2010/11/24 by Irene Lau, Lau, Irene
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1011.5497

openalex publication_date 2010/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_∞ 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.

Citations

• On the 'main conjecture' of equivariant Iwasawa theory

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