Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-Power conjugacy classes in $U(n,q)$ and $T(n,q)$   Let $q$ be a $p$-power where $p$ is a fixed prime. In this paper, we look at
the $p$-power maps on unitriangular group $U(n,q)$ and triangular group
$T(n,q)$. In the spirit of Borel dominance theorem for algebraic groups, we
show that the image of this map contains large size conjugacy classes. For the
triangular group we give a recursive formula to count the image size.

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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: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph