Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Centralisers of Involutions in Black Box Groups   We discuss basic structural properties of finite black box groups. A special
emphasis is made on the use of centralisers of involutions in probabilistic
recognition of black box groups. In particular, we suggest an algorithm for
finding the $p$-core of a black box group of odd characteristic. This special
role of involutions suggest that the theory of black box groups reproduces, at
a non-deterministic level, some important features of the classification of
finite simple groups.

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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat