Geodesic
Intersection of centralizers in a partially commutative metabelian group
Algebra i logika, Tome 61 (2022) no. 4, pp. 483-499.

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

For a partially commutative metabelian group, necessary and sufficient conditions on a defining graph are found under which the intersection of centralizers of two distinct vertices of the graph and the commutator subgroup is trivial.
Keywords: partially commutative group, metabelian group, graph, cycle
Mots-clés : clique. 
@article{AL_2022_61_4_a6,
     author = {E. I. Timoshenko},
     title = {Intersection of centralizers in a partially commutative metabelian group},
     journal = {Algebra i logika},
     pages = {483--499},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2022_61_4_a6/}
}
TY  - JOUR
AU  - E. I. Timoshenko
TI  - Intersection of centralizers in a partially commutative metabelian group
JO  - Algebra i logika
PY  - 2022
SP  - 483
EP  - 499
VL  - 61
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2022_61_4_a6/
LA  - ru
ID  - AL_2022_61_4_a6
ER  - 
%0 Journal Article
%A E. I. Timoshenko
%T Intersection of centralizers in a partially commutative metabelian group
%J Algebra i logika
%D 2022
%P 483-499
%V 61
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2022_61_4_a6/
%G ru
%F AL_2022_61_4_a6
E. I. Timoshenko. Intersection of centralizers in a partially commutative metabelian group. Algebra i logika, Tome 61 (2022) no. 4, pp. 483-499. http://geodesic.mathdoc.fr/item/AL_2022_61_4_a6/

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

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