Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Nilpotent Multipliers of Some Verbal Products of Groups   The paper is devoted to finding a homomorphic image for the $c$-nilpotent
multiplier of the verbal product of a family of groups with respect to a
variety ${\mathcal V}$ when ${\mathcal V} \subseteq {\mathcal N}_{c}$ or
${\mathcal N}_{c}\subseteq {\mathcal V}$. Also a structure of the $c$-nilpotent
multiplier of a special case of the verbal product, the nilpotent product, of
cyclic groups is given. In fact, we present an explicit formula for the
$c$-nilpotent multiplier of the $n$th nilpotent product of the group $G= {\bf
{Z}}\stackrel{n}{*}...\stackrel{n}{*}{\bf {Z}}\stackrel{n}{*} {\bf
{Z}}_{r_1}\stackrel{n}{*}...\stackrel{n}{*}{\bf{Z}}_{r_t}$, where $r_{i+1}$
divides $r_i$ for all $i$, $1 \leq i \leq t-1$, and $(p,r_1)=1$ for any prime
$p$ less than or equal to $n+c$, for all positive integers $n$, $c$.

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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org