A Finite Group Related to the Cubic Theta Function

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. Bibliography: 17 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 314, 2004, pp. 196–212.