Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Howson property of descending HNN-extensions of groups   A group $G$ is said to have the Howson property (or to be a Howson group) if
the intersection of any two finitely generated subgroups of $G$ is finitely
generated subgroup. It is proved that descending HNN-extension is not a Howson
group under some assumptions satisfied by the base group of HNN-extension. In
particular, a result of the paper joined with a Burns - Brunner result
(received in 1979) implies that any descending HNN-extension of non-cyclic free
group does not have the Howson property.

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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex