Moufang semidirect products of loops with groups and inverse property extensions

Autor: Greer, Mark, Raney, Lee
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