Semiautomorphic inverse property loops
© 2017, Copyright © Taylor & Francis. We define a variety of loops called semiautomorphic, inverse property loops that generalize Moufang and Steiner loops. We first show an equivalence between a previously studied variety of loops. Next we extend several known results for Moufang and Steiner loops. That is, the commutant is a subloop and if a is in the commutant, then a2 is a Moufang element, a3 is a c-element and a6 is in the center. Finally, we give two constructions for semiautomorphic inverse property loops based on Chein’s and de Barros and Juriaans’ doubling constructions.
Communications in Algebra
Greer, M. (2017). Semiautomorphic inverse property loops. Communications in Algebra. Retrieved from https://ir.una.edu/math_facpub/5