Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On open normal subgroups of parahorics   Let $F$ be a local complete field with discrete valuation, and let $G$ be a
quasi-split group over $F$ which splits over some unramified extension of $F$.
Let $P$ be a parahoric subgroup of the group $G(F)$ of $F$-points of $G$; t he
open normal pro-nilpotent subgroups of $P$ can be classified using the standa
rd normal filtration subgroups of Prasad and Raghanathan. More precisely, we
sho w that if $G$ is quasi-simple and satisfies some additional conditions, $H$
is, modulo a subgroup of some maximal torus of $G$, either one of these
filtration s ubgroups or the product of one of them by a standard normal
filtration subgroup of $P\cap M$, where $M$ is a proper Levi subgroup of $G$.

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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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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: cmp-lg