Nickel, Andreas (2012) A conductor formula for completed group algebras. Preprintreihe der Fakultät Mathematik 6/2012, Working Paper.
Let o be the ring of integers in a �nite extension of Qp. If G is a �nite group and Γ is a maximal order containing the group ring oG, Jacobinski's conductor formula gives a complete description of the central conductor of Γ into oG 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.
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|Item type:||Monograph (Working Paper)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Guido Kings|
|Keywords:||central conductor, completed group algebras, extensions of lattices, Fitting invariants|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited on:||19 Mar 2012 07:32|
|Last modified:||13 Mar 2014 18:41|