Geodesic
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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     author = {E. A. Neganova and V. I. Trofimov},
     title = {On symmetrical $4$-extensions of the grid $\Lambda^2$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {242--257},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a23/}
}
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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/