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arXiv · 1312.1919

Moufang semidirect products of loops with groups and inverse property extensions

Mark Greer·Lee Raney
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Abstract

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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Mark Greer, Lee Raney. 2015-02-22. Moufang semidirect products of loops with groups and inverse property extensions. https://arxiv.org/abs/1312.1919

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