Geodesic
On the $\varphi$-structure on the projective group $L_2(q)$
Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 725-728

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In the paper it is proved that the projective group $L_2(q)$ cannot be the automorphism group of a finite left distributive quasigroup. This is a special case of the conjecture according to which the automorphism group of a left distributive quasigroup is solvable. 
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     author = {S. V. Leshcheva and O. V. Suvorova},
     title = {On the $\varphi$-structure on the projective group $L_2(q)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {725--728},
     publisher = {mathdoc},
     volume = {63},
     number = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a10/}
}
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S. V. Leshcheva; O. V. Suvorova. On the $\varphi$-structure on the projective group $L_2(q)$. Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 725-728. http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a10/