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- W4287633910 abstract "The existence of a biplane with parameters $(121,16,2)$ is an open problem. Recently, it has been proved by Alavi, Daneshkhah and Praeger that the order of an automorphism group of a of possible biplane ${mathcal D}$ of order $14$ divides $2^7cdot3^2cdot5cdot7cdot11cdot13$. In this paper we show that such a biplane do not have an automorphism of order $11$ or $13$, and thereby establish that $|Aut({mathcal D})|$ divides $2^7cdot3^2cdot5cdot7.$ Further, we study a possible action of an automorphism of order five or seven, and some small groups of order divisible by five or seven, on a biplane with parameters $(121,16,2)$." @default.
- W4287633910 created "2022-07-25" @default.
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- W4287633910 date "2020-10-24" @default.
- W4287633910 modified "2023-09-26" @default.
- W4287633910 title "On automorphism groups of a biplane (121,16,2)" @default.
- W4287633910 doi "https://doi.org/10.48550/arxiv.2010.12944" @default.
- W4287633910 hasPublicationYear "2020" @default.
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