Geodesic
A conductor formula for completed group algebras.
Documenta mathematica, Tome 19 (2014), pp. 601-627.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $\fo$ be the ring of integers in a finite extension of $\qp$. If $G$ is a finite group and $\Ga$ is a maximal $\fo$-order containing the group ring $\fo[G]$, Jacobinski's conductor formula gives a complete description of the central conductor of $\Ga$ into $\fo[G]$ in terms of characters of $G$. We prove a similar result for completed group algebras $\fo [[G]]$, where $G$ is a $p$-adic Lie group of dimension 1. We will also discuss several consequences of this result.
Classification : 16H10, 16H20, 11R23
Keywords: central conductor, completed group algebras, extensions of lattices, Fitting invariants 
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     author = {Nickel, Andreas},
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     language = {en},
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Nickel, Andreas. A conductor formula for completed group algebras.. Documenta mathematica, Tome 19 (2014), pp. 601-627. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a26/