Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many Frobenius complements have even order   The theory of Frobenius groups with Frobenius complements of even order
largely reduces to tractable algebraic number theory. If we consider only
Frobenius complements with an upper bound $s$ on the number of distinct primes
dividing the order of their commutator subgroups, then the proportion of these
with odd order is less than $1/2^{s}$. A positive lower bound is also given.

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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org