Title
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].
Year
DOI
Venue
2020
10.1016/j.ffa.2020.101706
Finite Fields and Their Applications
Keywords
DocType
Volume
51E20,05B25,51E14
Journal
67
ISSN
Citations 
PageRank 
1071-5797
1
0.37
References 
Authors
3
4
Name
Order
Citations
PageRank
D'haeseleer Jozefien110.37
Mannaert Jonathan210.37
Leo Storme319738.07
Svob Andrea410.37