Semiautomorphic Inverse Property Loops

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 $a^{2}$ is a Moufang element, $a^{3}$ is a $c$-element and $a^{6}$ 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.Comment: Preprin

Ethnographic Account

I decided to investigate the children’s store Carter’s in order to understand the importance of teamwork that goes into working in a retail store. It’s an elaborate process as a store to execute your goals and enforce strategies. I aimed to reveal the type of teamwork that goes on behind the scenes that showcases how important it is for Carter’s employees to successfully reach their goals