Geodesic
A conductor formula for completed group algebras
Documenta mathematica, Tome 19 (2014), pp. 601-627
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Let o be the ring of integers in a finite extension of Qp​. If G is a finite group and Γ is a maximal o-order containing the group ring o[G], Jacobinski's conductor formula gives a complete description of the central conductor of Γ into o[G] in terms of characters of G. We prove a similar result for completed group algebras o[[G]], where G is a p-adic Lie group of dimension 1. We will also discuss several consequences of this result.
DOI : 10.4171/dm/457
Classification : 11R23, 16H10, 16H20
Mots-clés : central conductor, completed group algebras, extensions of lattices, Fitting invariants 
@article{10_4171_dm_457,
     author = {Andreas Nickel},
     title = {A conductor formula for completed group algebras},
     journal = {Documenta mathematica},
     pages = {601--627},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/457},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/457/}
}
TY  - JOUR
AU  - Andreas Nickel
TI  - A conductor formula for completed group algebras
JO  - Documenta mathematica
PY  - 2014
SP  - 601
EP  - 627
VL  - 19
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/457/
DO  - 10.4171/dm/457
ID  - 10_4171_dm_457
ER  - 
%0 Journal Article
%A Andreas Nickel
%T A conductor formula for completed group algebras
%J Documenta mathematica
%D 2014
%P 601-627
%V 19
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/457/
%R 10.4171/dm/457
%F 10_4171_dm_457
Andreas Nickel. A conductor formula for completed group algebras. Documenta mathematica, Tome 19 (2014), pp. 601-627. doi: 10.4171/dm/457

Cité par Sources :