Geodesic
A Mal'tsev basis for a partially commutative nilpotent metabelian group
Algebra i logika, Tome 50 (2011) no. 5, pp. 647-658

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

We find a canonical representation for elements of a partially commutative group in a variety of soluble groups of derived length two and nilpotency class at most $c\ge1$.
Keywords: partially commutative nilpotent metabelian group, variety, Mal'tsev basis. 
@article{AL_2011_50_5_a3,
     author = {E. I. Timoshenko},
     title = {A {Mal'tsev} basis for a~partially commutative nilpotent metabelian group},
     journal = {Algebra i logika},
     pages = {647--658},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_5_a3/}
}
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E. I. Timoshenko. A Mal'tsev basis for a partially commutative nilpotent metabelian group. Algebra i logika, Tome 50 (2011) no. 5, pp. 647-658. http://geodesic.mathdoc.fr/item/AL_2011_50_5_a3/