Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Centralizers in R. Thompson's group V_n   Let n be bigger than 1 and let A be an element in the Higman-Thompson group
V_n. We study the structure of the centralizer of a in V_n through a careful
analysis of the action of the group generated by A on the Cantor set C. We make
use of revealing tree pairs as developed by Brin and Salazar from which we
derive discrete train tracks to assist us in our analysis. A consequence of our
structure theorem is that centralizers are finitely generated. Along the way we
give a short argument using revealing tree pairs which shows that cyclic groups
are undistorted in V_n.

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The categories of this paper are: ao-sci
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat