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This article is cited in 1 scientific paper (total in 1 paper)
On Some Automorphisms of Orthogonal Groups in Odd Characteristic
V. M. Galkin, N. V. Mokhnina Nizhny Novgorod State Technical University
Abstract:
In this paper, it is proved that the simple orthogonal groups $O_{2n+1}(q)$ and $O_{2n}^\pm (q)$ (where $q$ is odd) cannot be automorphism groups of finite left distributive quasigroups. This is a particular case of the conjecture stating that the automorphism group of a left distributive quasigroup is solvable. To complete the proof of the conjecture, one must test all finite groups.
Received: 14.03.2000
Citation:
V. M. Galkin, N. V. Mokhnina, “On Some Automorphisms of Orthogonal Groups in Odd Characteristic”, Mat. Zametki, 70:1 (2001), 27–37; Math. Notes, 70:1 (2001), 25–34
Linking options:
https://www.mathnet.ru/eng/mzm715https://doi.org/10.4213/mzm715 https://www.mathnet.ru/eng/mzm/v70/i1/p27
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Abstract page: | 356 | Full-text PDF : | 162 | References: | 45 | First page: | 1 |
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