Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounding the composition length of primitive permutation groups and
  completely reducible linear groups   We obtain upper bounds on the composition length of a finite permutation
group in terms of the degree and the number of orbits, and analogous bounds for
primitive, quasiprimitive and semiprimitive groups. Similarly, we obtain upper
bounds on the composition length of a finite completely reducible linear group
in terms of some of its parameters. In almost all cases we show that the bounds
are sharp, and describe the extremal examples.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas