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

(2019) DESIGNS CODES AND CRYPTOGRAPHY. 87(8). p.1839-1856
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Organization
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(2k+1,q). We also present some classification results.
Keywords
Cameron-Liebler set, Grassmann graph, Projective spaces, LINE CLASSES

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Citation

Please use this url to cite or link to this publication:

MLA
Blokhuis, Aart, Maarten De Boeck, and Jozefien D’haeseleer. “Cameron-Liebler Sets of K-spaces in PG(n,q).” DESIGNS CODES AND CRYPTOGRAPHY 87.8 (2019): 1839–1856. Print.
APA
Blokhuis, Aart, De Boeck, M., & D’haeseleer, J. (2019). Cameron-Liebler sets of k-spaces in PG(n,q). DESIGNS CODES AND CRYPTOGRAPHY, 87(8), 1839–1856.
Chicago author-date
Blokhuis, Aart, Maarten De Boeck, and Jozefien D’haeseleer. 2019. “Cameron-Liebler Sets of K-spaces in PG(n,q).” Designs Codes and Cryptography 87 (8): 1839–1856.
Chicago author-date (all authors)
Blokhuis, Aart, Maarten De Boeck, and Jozefien D’haeseleer. 2019. “Cameron-Liebler Sets of K-spaces in PG(n,q).” Designs Codes and Cryptography 87 (8): 1839–1856.
Vancouver
1.
Blokhuis A, De Boeck M, D’haeseleer J. Cameron-Liebler sets of k-spaces in PG(n,q). DESIGNS CODES AND CRYPTOGRAPHY. 2019;87(8):1839–56.
IEEE
[1]
A. Blokhuis, M. De Boeck, and J. D’haeseleer, “Cameron-Liebler sets of k-spaces in PG(n,q),” DESIGNS CODES AND CRYPTOGRAPHY, vol. 87, no. 8, pp. 1839–1856, 2019.
@article{8587130,
  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(2k+1,q). We also present some classification results.},
  author       = {Blokhuis, Aart and De Boeck, Maarten and D'haeseleer, Jozefien},
  issn         = { 0925-1022},
  journal      = {DESIGNS CODES AND CRYPTOGRAPHY},
  keywords     = {Cameron-Liebler set,Grassmann graph,Projective spaces,LINE CLASSES},
  language     = {eng},
  number       = {8},
  pages        = {1839--1856},
  title        = {Cameron-Liebler sets of k-spaces in PG(n,q)},
  url          = {http://dx.doi.org/10.1007/s10623-018-0583-1},
  volume       = {87},
  year         = {2019},
}

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