Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moufang semidirect products of loops with groups and inverse property
  extensions   We investigate Moufang loops which can be written as the semidirect product
of a loop and a group. We also examine a particular class of loop extensions
which arise as a result of a finite cyclic group acting as a group of
semiautomorphisms on an inverse property loop. A question posed by Gagola III
related to such extensions is partially answered, and we give several examples
which illustrate that, in general, these extensions are not well-behaved.

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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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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: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: econ