Geodesic
Automorphism matrix of a~countable-dimensional torus
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 285-289.

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It is known that an automorphism of a finite-dimensional torus is given by a square matrix with a determinant equal to $\pm1$. The present note gives an analogous description of the matrix for an automorphism of a countable-dimensional torus. 
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E. V. Maikov; G. E. Shilov. Automorphism matrix of a~countable-dimensional torus. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 285-289. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a6/