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

A. Blokhuis; Maarten De Boeck; Jozefien D'haeseleer

doi:10.1007/s10623-018-0583-1

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 language	English
Pages (from-to)	1839–1856
Number of pages	18
Journal	Designs, Codes and Cryptography
Volume	87
Issue number	8
DOIs	https://doi.org/10.1007/s10623-018-0583-1
Publication status	Published - 15 Aug 2019

Keywords

Cameron–Liebler set
Grassmann graph
Projective spaces

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10.1007/s10623-018-0583-1

Cite this

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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.",

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AB - 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.

KW - Cameron–Liebler set

KW - Grassmann graph

KW - Projective spaces

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JO - Designs, Codes and Cryptography

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ER -

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

Abstract

Keywords

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