Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primary rank of the class group of real cyclotomic fields   Let $H= \mathbb{Q}(\zeta_{n} + {\zeta_{n}}^{-1})$ and $\ell$ be an odd prime
such that $q \equiv 1 \pmod \ell$ for some prime factor $q$ of $n$. We get a
bound on the $\ell$-rank of the class group of $H$(under some conditions) in
terms of the $\ell$-rank of the class group of real quadratic subfield
contained in $H$. This is an extension of a recent work of E. Agathocleous
(with alternate hypothesis) where she handles $\ell=3$ case. As an application
of our main result we relate the $\ell$-rank of real quadratic subfields of
$H$.

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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas