Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Examples from the Jigsaw Groups Construction   A pseudomodular group is a discrete subgroup $\Gamma \leq PGL(2,\mathbb{Q})$
which is not commensurable with $PSL(2,\mathbb{Z})$ and has cusp set precisely
$\mathbb{Q}\cup\{\infty\}$. The existence of such groups was proved by Long and
Reid. Later, Lou, Tan and Vo constructed two infinite families of
non-commensurable pseudomodular groups which they called jigsaw groups. In this
paper we construct a new infinite family of non-commensurable pseudomodular
groups obtained via this jigsaw construction. We also find that infinitely many
of the simplest jigsaw groups are not pseudomodular, providing a partial answer
to questions posed by the aforementioned authors.

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio