Cameron-Liebler sets of k-spaces in PG(n,q)

A. Blokhuis, Maarten De Boeck, Jozefien D'haeseleer (Corresponding author)

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Abstract

Cameron–Liebler sets of k-spaces were introduced recently in Filmus and Ihringer (J Combin Theory Ser A, 2019). We list several equivalent definitions for these Cameron–Liebler sets, by making a generalization of known results about Cameron–Liebler line sets in PG (n, q) and Cameron–Liebler sets of k-spaces in PG (2 k+ 1 , q). We also present some classification results.

Original languageEnglish
Pages (from-to)1839–1856
Number of pages18
JournalDesigns, Codes and Cryptography
Volume87
Issue number8
DOIs
Publication statusPublished - 15 Aug 2019

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Keywords

  • Cameron–Liebler set
  • Grassmann graph
  • Projective spaces

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