Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orientably-Regular $p$-Maps and Regular $p$-Maps   A map is called a {\it $p$-map} if it has a prime $p$-power vertices.
  An orientably-regular (resp. A regular ) $p$-map is called {\it solvable} if
the group $G^+$ of all orientation-preserving automorphisms (resp. the group
$G$ of automorphisms) is solvable; and called {\it normal} if $G^+$ (resp. $G$)
contains the normal Sylow $p$-subgroup.
  In this paper, it will be proved that both orientably-regular $p$-maps and
regular $p$-maps are solvable and except for few cases that $p\in \{2, 3\}$,
they are normal.
  Moreover, nonnormal $p$-maps will be characterized and some properties and
constructions of normal $p$-maps will be given.

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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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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: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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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: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th