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- W4293450135 abstract "In this paper, we investigate dual 3-nets realizing the groups $C_3 times C_3$, $C_2 times C_4$, $Alt_4$ and that can be embedded in a projective plane $PG(2,mathbb K)$, where $mathbb K$ is an algebraically closed field. We give a symbolically verifiable computational proof that every dual 3-net realizing the groups $C_3 times C_3$ and $C_2 times C_4$ is algebraic, namely, that its points lie on a plane cubic. Moreover, we present two computer programs whose calculations show that the group $Alt_4$ cannot be realized if the characteristic of $mathbb K$ is zero." @default.
- W4293450135 created "2022-08-29" @default.
- W4293450135 creator A5067363487 @default.
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- W4293450135 date "2011-08-17" @default.
- W4293450135 modified "2023-09-27" @default.
- W4293450135 title "Some computational results on small 3-nets embedded in a projective plane over a field" @default.
- W4293450135 doi "https://doi.org/10.48550/arxiv.1108.3408" @default.
- W4293450135 hasPublicationYear "2011" @default.
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