Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Representation of Permutations with Full Cycle   For q > 2, Carlitz proved that the group of permutation polynomials (PPs)
over F_q is generated by linear polynomials and x^{q-2}. Based on this result,
this note points out a simple method for representing all PPs with full cycle
over the prime field F_p, where p is an odd prime. We use the isomorphism
between the symmetric group S_p of p elements and the group of PPs over F_p,
and the well-known fact that permutations in S_p have the same cycle structure
if and only if they are conjugate.

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex