Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: K_1 of a p-adic group ring I. The determinantal image   We study the K-group K_1 of the group ring of a finite group over a
coefficient ring which is p-adically complete and admits a lift of Frobenius.
In this paper, we consider the image of K_1 under the determinant map; the
central tool is the group logarithm which we can define using the Frobenius
lift. Using this we prove a fixed point theorem for the determinantal image of
K_1.

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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: econ