Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Palindromic Width of Finitely Generated Solvable Groups   We investigate the palindromic width of finitely generated solvable groups.
We prove that every finitely generated $3$-step solvable group has finite
palindromic width. More generally, we show the finiteness of palindromic width
for finitely generated abelian-by-nilpotent-by-nilpotent groups. For arbitrary
solvable groups of step $\geq 3$, we prove that if $G$ is a finitely generated
solvable group that is an extension of an abelian group by a group satisfying
the maximal condition for normal subgroups, then the palindromic width of $G$
is finite. We also prove that the palindromic width of $\mathbb Z \wr \mathbb
Z$ with respect to the set of standard generators is $3$.

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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th