Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A conductor formula for completed group algebras   Let $\mathcal O$ be the ring of integers in a finite extension of $\mathbb
Q_p$. If $G$ is a finite group and $\Gamma$ is a maximal order containing the
group ring $\mathcal O[G]$, Jacobinski's conductor formula gives a complete
description of the central conductor of $\Gamma$ into $\mathcal O[G]$ in terms
of characters of $G$. We prove a similar result for completed group algebras
$\mathcal O[[G]]$, where $G$ is a $p$-adic Lie group of dimension $1$. We will
also discuss several consequences of this result.

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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat