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A conductor formula for completed group algebras

Nickel, Andreas (2012) A conductor formula for completed group algebras. Preprintreihe der Fakultät Mathematik 6/2012, Working Paper.

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Abstract

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
Date:2012
Institutions:Mathematics > Prof. Dr. Guido Kings
Classification:
NotationType
16H10MSC
16H20MSC
11R23MSC
Keywords:central conductor, completed group algebras, extensions of lattices, Fitting invariants
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
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
Item ID:23575
Owner only: item control page

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