Centralizer dimensions and universal theories for partially commutative metabelian groups
Algebra i logika, Tome 56 (2017) no. 2, pp. 226-255

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Centralizer dimensions are computed for partially commutative metabelian groups $S_\Gamma$ whose defining graphs $\Gamma$ are trees. Universal theories of partially commutative metabelian groups defined by cycles and linear graphs are studied.
Keywords: partially commutative metabelian group, centralizer dimension, defining graph, universal theory.
@article{AL_2017_56_2_a5,
     author = {E. I. Timoshenko},
     title = {Centralizer dimensions and universal theories for partially commutative metabelian groups},
     journal = {Algebra i logika},
     pages = {226--255},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_2_a5/}
}
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E. I. Timoshenko. Centralizer dimensions and universal theories for partially commutative metabelian groups. Algebra i logika, Tome 56 (2017) no. 2, pp. 226-255. http://geodesic.mathdoc.fr/item/AL_2017_56_2_a5/