Geodesic
On certain finite group related to cubic theta polynomials
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 196-212

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With the Kubota–Patterson cubic theta function 27 shifted theta functions are associated. Then a certain group of permutations of the shifted theta functions is defined in a natural way, which proves to be isometric to a subgroup of the known group of permutations of 27 lines on a cubic surface. 
@article{ZNSL_2004_314_a11,
     author = {N. V. Proskurin},
     title = {On certain finite group related to cubic theta polynomials},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {196--212},
     publisher = {mathdoc},
     volume = {314},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a11/}
}
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N. V. Proskurin. On certain finite group related to cubic theta polynomials. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 196-212. http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a11/