Moufang semidirect products of loops with groups and inverse property extensions
Autor: | Greer, Mark, Raney, Lee |
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Rok vydání: | 2013 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: preprint |
Databáze: | arXiv |
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