Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commensurators and classifying spaces with virtually cyclic stabilizers   By examining commensurators of virtually cyclic groups, we show that for each
natural number n, any locally finite-by-virtually cyclic group of cardinality
aleph_n admits a finite dimensional classifying space with virtually cyclic
stabilizers of dimension n+3. As a corollary, we prove that every elementary
amenable group of finite Hirsch length and cardinality aleph_n admits a finite
dimensional classifying space with virtually cyclic stabilizers.

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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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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: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: nucl-th