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A conductor formula for completed group algebras

URN to cite this document:
urn:nbn:de:bvb:355-epub-235751
Nickel, Andreas
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Date of publication of this fulltext: 19 Mar 2012 07:32


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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