Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Problem of W. R. Scott: Classify the Subgroup of Elements with Many
  Roots   Let G be an infinite group and let h and g be elements. We say that h is a
root of g if some integer power of h is equal to g. We define K(G) to be the
subgroup of all elements of G for which the number of elements which are not
roots is of smaller cardinality than the cardinality of the group. That is,
each element in K has almost every element in G as a root. This paper discusses
the problem: When can K(G) be non-trivial?

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The categories of this paper are: econ
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph