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 \({{\mathrm{PG}}}(n,q)\) and Cameron–Liebler sets of k-spaces in \({{\mathrm{PG}}}(2k+1,q)\). We also present some classification results.
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24 December 2021
A Correction to this paper has been published: https://doi.org/10.1007/s10623-021-00983-4
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Acknowledgements
The research of Jozefien D’haeseleer is supported by the FWO (Research Foundation Flanders). The authors thank Leo Storme and Ferdinand Ihringer for their remarks and suggestions while writing this article.
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Blokhuis, A., De Boeck, M. & D’haeseleer, J. Cameron–Liebler sets of k-spaces in \({{\mathrm{PG}}}(n,q)\). Des. Codes Cryptogr. 87, 1839–1856 (2019). https://doi.org/10.1007/s10623-018-0583-1
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DOI: https://doi.org/10.1007/s10623-018-0583-1