Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclotomic Units and Class Groups in Z_p extensions of real abelian
  fields   For a real abelian field and for an odd prime p splitting in the field, we
study a map between the p-parts of the class group and of the quotient of units
modulo Cyclotomic Units, respectively, along the cyclotomic Z_p-extension of
the field. We determine the kernel and the cokernel of this map assuming
Greenberg's conjecture on the vanishing of the lambda-invariant of the
extension.

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The categories of this paper are: eess
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: bayes-an