Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Dimensional Thompson Groups   We construct a "higher dimensional" version 2V of Thompson's group V. Like V
it is an infinite, finitely presented, simple subgroup of the homeomorphism
group of the Cantor set, but we show that it is not isomorphic to V by showing
that the actions on the Cantor set are not topologically conjugate: 2V has an
element with "chaotic" action, while V cannot have such an element. A theorem
of Rubin is then applied which shows that for these two groups, isomorphism
would imply topological conjugacy.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat