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On Cameron-Liebler Sets of k-Spaces in Finite Projective Spaces (Part II)

Activity: Talk or presentationTalk or presentation at a conference

Description

Cameron-Liebler sets of lines in a finite 3-dimensional space mathrm{PG}(3,q) originate from the study by Cameron and Liebler in 1982 of groups of collineations with equally many orbits on the points and the lines of mathrm{PG}(3,q). These objects have some interesting equivalent characterizations, and are examples of Boolean functions of degree one. In this talk, we focus on these objects and their generalisation from a geometric perspective, and report on several existence and non-existence results, including a lower bound on the existence of the parameter x (besides trivial examples).
Period14 Sept 2022
Event title25th International Symposium on Mathematical Theory of Networks and Systems
Event typeConference
LocationBayreuth, Germany, BavariaShow on map
Degree of RecognitionInternational