Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the strongly ambiguous classes of some biquadratic number fields   We study the capitulation of ideal classes in an infinite family of imaginary
bicyclic biquadratic number fields consisting of
  fields $k =Q(\sqrt{2pq}, i)$, where $i=\sqrt{-1}$ and $p\equiv -q\equiv1
\pmod 4$ are different primes. For each of the three quadratic extensions $K/k$
inside the absolute genus field $k^{(*)}$ of $k$, we compute the capitulation
kernel of $K/k$. Then we deduce that each strongly ambiguous class of $k/Q(i)$
capitulates already in $k^{(*)}$, which is smaller than the relative genus
field $\left(k/Q(i)\right)^*$.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph