Combinatorica

pp 1–19

Cameron-Liebler k-classes in PG(2k+1, q)

Article

DOI: 10.1007/s00493-016-3482-y

Cite this article as:
Rodgers, M., Storme, L. & Vansweevelt, A. Combinatorica (2017). doi:10.1007/s00493-016-3482-y

Abstract

We look at a generalization of Cameron-Liebler line classes to sets of k-spaces, focusing on results in PG(2k+1, q). Here we obtain a connection to k-spreads which parallels the situation for line classes in PG(3,q). After looking at some characterizations of these sets and some of the difficulties that arise in contrast to the known results for line classes, we give some connections to various other geometric objects including k-spreads and Erdős–Ko–Rado sets, and prove results concerning the existence of these objects.

Mathematics Subject Classification (2000)

51E20 05B25 05E30 

Copyright information

© János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Morgan Rodgers
    • 1
  • Leo Storme
    • 2
  • Andries Vansweevelt
    • 3
  1. 1.School of Mathematics and Computer ScienceLake Superior State UniversitySault Sainte MarieUSA
  2. 2.Department of MathematicsGhent UniversityGhentBelgium
  3. 3.WiskundeKU Leuven Kulak KortrijkKortrijkBelgium

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