Geodesic
Functoriality of the Canonical Fractional Galois Ideal
Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1011-1036

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DOI

The fractional Galois ideal is a conjectural improvement on the higher Stickelberger ideals defined at negative integers, and is expected to provide non-trivial annihilators for higher $K$ -groups of rings of integers of number fields. In this article, we extend the definition of the fractional Galois ideal to arbitrary (possibly infinite and non-abelian) Galois extensions of number fields under the assumption of Stark's conjectures and prove naturality properties under canonical changes of extension. We discuss applications of this to the construction of ideals in non-commutative Iwasawa algebras.
DOI : 10.4153/CJM-2010-054-1
Mots-clés : 11R42, 11R23, 11R70 
Buckingham, Paul; Snaith, Victor. Functoriality of the Canonical Fractional Galois Ideal. Canadian journal of mathematics, Tome 62 (2010) no. 5, pp. 1011-1036. doi: 10.4153/CJM-2010-054-1
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     title = {Functoriality of the {Canonical} {Fractional} {Galois} {Ideal}},
     journal = {Canadian journal of mathematics},
     pages = {1011--1036},
     year = {2010},
     volume = {62},
     number = {5},
     doi = {10.4153/CJM-2010-054-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-054-1/}
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