On symmetrical $4$-extensions of the grid $\Lambda^2$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 242-257
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The finiteness of the set of all $Aut_0(\Lambda^2)$-symmetrical $4$-extensions of the $2$-dimensional grid $\Lambda^2$ is proved with the help of the finiteness criterion for the set of symmetrical $q$-extensions of the grid $\Lambda^2$, which was obtained by the authors earlier. In addition, the list of all $Aut_0(\Lambda^2)$-symmetrical $4$-extensions of the grid $\Lambda^2$ is presented.
Keywords: $d$-dimensional grids, symmetrical $q$-extensions, automorphisms.
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E. A. Neganova; V. I. Trofimov. On symmetrical $4$-extensions of the grid $\Lambda^2$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 242-257. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a23/

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