Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tubular free by cyclic groups and the strongest Tits alternative   We show, using Wise's equitable sets criterion, that every tubular free by
cyclic group acts freely on a CAT(0) cube complex. We also show that these
groups have a finite index subgroup satisfying the strongest Tits alternative,
which means that every subgroup either surjects a non abelian free group or is
torsion free abelian. In particular the Gersten group is the first known group
virtually having this property but which is not virtually special nor virtually
residually free.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga