Cameron–Liebler line classes with parameter x=q2−12

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Cameron-Liebler line classes with parameter x=(q2-1)/2

Article history: Received 25 June 2014 Available online 2 March 2015

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Cameron-Liebler line classes

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On Cameron–Liebler line classes

Cameron–Liebler line classes are sets of lines in PGð3; qÞ that contain a fixed number x of lines of every spread. Cameron and Liebler classified them for x A f0; 1; 2; q 1; q; q þ 1g and conjectured that no others exist. This conjecture was disproven by Drudge and his counterexample was generalised to a counterexample for any odd q by Bruen and Drudge. Nonexistence of Cameron–Liebler line clas...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2015

ISSN: 0097-3165

DOI: 10.1016/j.jcta.2015.02.004