Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Artin Symbol as a Canonical Capitulation Map   We show that there is a canonical, order preserving map $\psi$ of lattices of
subgroups, which maps the lattice $\Sub(A)$ of subgroups of the ideal class
group of a galois number field $\K$ into the lattice $\Sub(\KH/\K)$ of
subfields of the Hilbert class field. Furthermore, this map is a capitulation
map in the sense that all the primes in the classes of $A' \subset A$
capitulate in $\psi(A')$. In particular we have a new, strong version of the
generalized Hilbert 94 Theorem, which confirms the result of Myiake and adds
more structure to (part) of the capitulation kernel of subfields of $\KH$.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org