Cameron-Liebler line classes in AG(3,q)

Abstract The study of Cameron-Liebler line classes in PG( 3 , q ) arose from classifying specific collineation subgroups of PG( 3 , q ). Recently, these line classes were considered in new settings. In this point of view, we will generalize the concept of Cameron-Liebler line classes to AG( 3 , q ). In this article we define Cameron-Liebler line classes using the constant intersection property towards line spreads. The interesting fact about this generalization is the link these line classes have with Cameron-Liebler line classes in PG( 3 , q ). Next to giving this link, we will also give some equivalent ways to consider Cameron-Liebler line classes in AG( 3 , q ), some classification results and an example based on the example found in [3] and [6] .