Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How close are pth powers in the Nottingham group?   Let F be a field of characteristic p > 0 and let g, h be elements of the
Nottingham group N(F) such that g has depth k and gh^{-1} has depth n >= k. We
find the best possible lower bound for the depth of g^ph^{-p}.

36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
24
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: mtrl-th
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The categories of this paper are: plasm-ph