Universal theories for partially commutative metabelian groups
Algebra i logika, Tome 50 (2011) no. 1, pp. 3-25.

Voir la notice de l'article provenant de la source Math-Net.Ru

We look at properties of partially commutative metabelian groups and of their universal theories. In particular, it is shown that two partially commutative metabelian groups defined by cycles are universally equivalent if and only if the cycles are isomorphic.
Keywords: partially commutative metabelian group, universal theory.
@article{AL_2011_50_1_a0,
     author = {Ch. K. Gupta and E. I. Timoshenko},
     title = {Universal theories for partially commutative metabelian groups},
     journal = {Algebra i logika},
     pages = {3--25},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_1_a0/}
}
TY  - JOUR
AU  - Ch. K. Gupta
AU  - E. I. Timoshenko
TI  - Universal theories for partially commutative metabelian groups
JO  - Algebra i logika
PY  - 2011
SP  - 3
EP  - 25
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2011_50_1_a0/
LA  - ru
ID  - AL_2011_50_1_a0
ER  - 
%0 Journal Article
%A Ch. K. Gupta
%A E. I. Timoshenko
%T Universal theories for partially commutative metabelian groups
%J Algebra i logika
%D 2011
%P 3-25
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2011_50_1_a0/
%G ru
%F AL_2011_50_1_a0
Ch. K. Gupta; E. I. Timoshenko. Universal theories for partially commutative metabelian groups. Algebra i logika, Tome 50 (2011) no. 1, pp. 3-25. http://geodesic.mathdoc.fr/item/AL_2011_50_1_a0/

[1] Ch. K. Gupta, E. I. Timoshenko, “Chastichno kommutativnye metabelevy gruppy: tsentralizatory i elementarnaya ekvivalentnost”, Algebra i logika, 48:3 (2009), 309–341 | MR

[2] E. I. Timoshenko, “Universalnaya ekvivalentnost chastichno kommutativnykh metabelevykh grupp”, Algebra i logika, 49:2 (2010), 263–290 | MR

[3] A. J. Duncan, I. V. Kazachkov, V. N. Remeslennikov, “Orthogonal systems in finite graphs”, Sib. elektron. matem. izv., 5 (2008), 151–176 | MR

[4] V. N. Remeslennikov, A. V. Treier, “Struktura grupp avtomorfizmov dlya chastichno kommutativnykh dvustupenno nilpotentnykh grupp”, Algebra i logika, 49:1 (2010), 60–97 | MR | Zbl

[5] V. N. Remeslennikov, N. S. Romanovskii, “O metabelevykh proizvedeniyakh grupp”, Algebra i logika, 43:3 (2004), 341–352 | MR | Zbl

[6] A. H. Rhemtulla, “Commutators of certain finitely generated soluble groups”, Can. J. math., 21:5 (1969), 1160–1164 | DOI | MR | Zbl