2018
DOI: 10.21538/0134-4889-2018-24-2-158-172
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Классы Камерона --- Либлера прямых в $\mathrm{PG}(n,5)$

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Cited by 3 publications
(3 citation statements)
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“…Further, the set-stabiliser of 12 (2) has the only orbit on lines that should have pattern T 6 , so, in the plane π 1 , we can consider an arbitrary configuration of 12 lines that is projectively equivalent to 12 (2) and contains the line ℓ ⋆ (as it is represented in Table 1). The setstabiliser of 18 has the only orbit on lines that should have pattern T 6 . In the plane π 2 , we consider all configurations of 18 lines that are projectively equivalent to 18 and contain the line ℓ ⋆ as it is represented in Table 1, and that are nonequivalent under the action of the point-wise stabiliser of ℓ ⋆ in PG (2,5).…”
Section: Lemma 42mentioning
confidence: 99%
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“…Further, the set-stabiliser of 12 (2) has the only orbit on lines that should have pattern T 6 , so, in the plane π 1 , we can consider an arbitrary configuration of 12 lines that is projectively equivalent to 12 (2) and contains the line ℓ ⋆ (as it is represented in Table 1). The setstabiliser of 18 has the only orbit on lines that should have pattern T 6 . In the plane π 2 , we consider all configurations of 18 lines that are projectively equivalent to 18 and contain the line ℓ ⋆ as it is represented in Table 1, and that are nonequivalent under the action of the point-wise stabiliser of ℓ ⋆ in PG (2,5).…”
Section: Lemma 42mentioning
confidence: 99%
“…The setstabiliser of 18 has the only orbit on lines that should have pattern T 6 . In the plane π 2 , we consider all configurations of 18 lines that are projectively equivalent to 18 and contain the line ℓ ⋆ as it is represented in Table 1, and that are nonequivalent under the action of the point-wise stabiliser of ℓ ⋆ in PG (2,5). This gives four candidates for a planar section of ′ in π 2 .…”
Section: Lemma 42mentioning
confidence: 99%
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