Geodesic
Partially commutative metabelian groups: centralizers and elementary equivalence
Algebra i logika, Tome 48 (2009) no. 3, pp. 309-341

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

For partially commutative metabelian groups, annihilators of elements of commutator subgroups are described; canonical representations of elements are defined; approximability by torsion-free nilpotent groups is proved; centralizers of elements are described. Also, it is proved that two partially commutative metabelian groups have equal elementary theories iff their defining graphs are isomorphic, and that every partially commutative metabelian group is embeddable in a metabelian group with decidable universal theory.
Keywords: metabelian group, centralizer, annihilator, elementary equivalence. 
@article{AL_2009_48_3_a1,
     author = {Ch. K. Gupta and E. I. Timoshenko},
     title = {Partially commutative metabelian groups: centralizers and elementary equivalence},
     journal = {Algebra i logika},
     pages = {309--341},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_3_a1/}
}
TY  - JOUR
AU  - Ch. K. Gupta
AU  - E. I. Timoshenko
TI  - Partially commutative metabelian groups: centralizers and elementary equivalence
JO  - Algebra i logika
PY  - 2009
SP  - 309
EP  - 341
VL  - 48
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2009_48_3_a1/
LA  - ru
ID  - AL_2009_48_3_a1
ER  - 
%0 Journal Article
%A Ch. K. Gupta
%A E. I. Timoshenko
%T Partially commutative metabelian groups: centralizers and elementary equivalence
%J Algebra i logika
%D 2009
%P 309-341
%V 48
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2009_48_3_a1/
%G ru
%F AL_2009_48_3_a1
Ch. K. Gupta; E. I. Timoshenko. Partially commutative metabelian groups: centralizers and elementary equivalence. Algebra i logika, Tome 48 (2009) no. 3, pp. 309-341. http://geodesic.mathdoc.fr/item/AL_2009_48_3_a1/