Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite primitive permutation groups and regular cycles of their elements   We conjecture that if $G$ is a finite primitive group and if $g$ is an
element of $G$, then either the element $g$ has a cycle of length equal to its
order, or for some $r,m$ and $k$, the group $G\leq S_m\wr S_r$, preserving a
product structure of $r$ direct copies of the natural action of $S_m$ or $A_m$
on $k$-sets. In this paper we reduce this conjecture to the case that $G$ is an
almost simple group with socle a classical group.

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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn