Geodesic
$Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid $\Lambda^2$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 222-243
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Using an earlier proof by the author and V. I. Trofimov that there are only finitely many $Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid $\Lambda^2$, we find all $Aut_0(\Lambda^2)$-symmetrical 4-extensions of grid $\Lambda^2$.
Keywords: $d$-dimensional grid, symmetrical $q$-extension. 
@article{TIMM_2011_17_4_a22,
     author = {E. A. Neganova},
     title = {$Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid~$\Lambda^2$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {222--243},
     year = {2011},
     volume = {17},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a22/}
}
TY  - JOUR
AU  - E. A. Neganova
TI  - $Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid $\Lambda^2$
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2011
SP  - 222
EP  - 243
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a22/
LA  - ru
ID  - TIMM_2011_17_4_a22
ER  - 
%0 Journal Article
%A E. A. Neganova
%T $Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid $\Lambda^2$
%J Trudy Instituta matematiki i mehaniki
%D 2011
%P 222-243
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a22/
%G ru
%F TIMM_2011_17_4_a22
E. A. Neganova. $Aut_0(\Lambda^2)$-symmetrical 4-extensions of the 2-dimensional grid $\Lambda^2$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 222-243. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a22/

[1] Trofimov V. I., “Some topics in graph theory related with group theory”, Sib. elektr. mat. izv., 8 (2011), 62–67 | MR

[2] Neganova E. A., Trofimov V. I., “$Aut_0(d)$-simmetricheskie 2-rasshireniya reshetok $\Lambda_d$”, Problemy teoretich. i prikl. matematiki, tez. dokl. 41-i Vseros. mol. shk.-konf., Institut matematiki i mekhaniki UrO RAN, Ekaterinburg, 2010, 64–70

[3] Neganova E. A., Trofimov V. I., “O simmetricheskikh $q$-rasshireniyakh 2-mernoi reshetki”, Trudy Instituta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 199–209

[4] Neganova E. A., Trofimov V. I., “O simmetricheskikh 4-rasshireniyakh 2-mernoi reshetki”, Trudy Instituta matematiki i mekhaniki UrO RAN, 17, no. 3, 2011, 242–257