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The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces

Maarten De Boeck (UGent)
(2014) DESIGNS CODES AND CRYPTOGRAPHY. 72(1). p.77-117
Author
Organization
Abstract
Erdos-Ko-Rado sets of planes in a projective or polar space are non-extendable sets of planes such that every two have a non-empty intersection. In this article we classify all ErdAs-Ko-Rado sets of planes that generate at least a 6-dimensional space. For general dimension (projective space) or rank (polar space) we give a classification of the ten largest types of ErdAs-Ko-Rado sets of planes. For some small cases we find a better, sometimes complete, classification.
Keywords
Erdos-Ko-Rado sets, Classical polar spaces, Projective spaces, INTERSECTION THEOREMS, SYSTEMS, GRAPHS, VECTOR-SPACES

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Citation

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MLA
De Boeck, Maarten. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY, vol. 72, no. 1, 2014, pp. 77–117, doi:10.1007/s10623-013-9812-9.
APA
De Boeck, M. (2014). The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces. DESIGNS CODES AND CRYPTOGRAPHY, 72(1), 77–117. https://doi.org/10.1007/s10623-013-9812-9
Chicago author-date
De Boeck, Maarten. 2014. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 72 (1): 77–117. https://doi.org/10.1007/s10623-013-9812-9.
Chicago author-date (all authors)
De Boeck, Maarten. 2014. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 72 (1): 77–117. doi:10.1007/s10623-013-9812-9.
Vancouver
1.
De Boeck M. The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces. DESIGNS CODES AND CRYPTOGRAPHY. 2014;72(1):77–117.
IEEE
[1]
M. De Boeck, “The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 72, no. 1, pp. 77–117, 2014.
@article{4418273,
  abstract     = {{Erdos-Ko-Rado sets of planes in a projective or polar space are non-extendable sets of planes such that every two have a non-empty intersection. In this article we classify all ErdAs-Ko-Rado sets of planes that generate at least a 6-dimensional space. For general dimension (projective space) or rank (polar space) we give a classification of the ten largest types of ErdAs-Ko-Rado sets of planes. For some small cases we find a better, sometimes complete, classification.}},
  author       = {{De Boeck, Maarten}},
  issn         = {{0925-1022}},
  journal      = {{DESIGNS CODES AND CRYPTOGRAPHY}},
  keywords     = {{Erdos-Ko-Rado sets,Classical polar spaces,Projective spaces,INTERSECTION THEOREMS,SYSTEMS,GRAPHS,VECTOR-SPACES}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{77--117}},
  title        = {{The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces}},
  url          = {{http://doi.org/10.1007/s10623-013-9812-9}},
  volume       = {{72}},
  year         = {{2014}},
}
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