Geodesic
Embedding of Free Nilpotent~(Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups
Matematičeskie zametki, Tome 114 (2023) no. 5, pp. 773-779

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An algorithm is presented that determines the maximum rank of a free nilpotent metabelian or, respectively, nilpotent group isomorphically embeddable into a given partially commutative nilpotent group of the same degree of nilpotency. It is shown how these embeddings are realized.
Keywords: nilpotent group, metabelian group, partially commutative group, free group, embedding. 
@article{MZM_2023_114_5_a9,
     author = {V. A. Roman'kov},
     title = {Embedding of {Free} {Nilpotent~(Metabelian)} {Groups} in {Partially} {Commutative} {Nilpotent} {(Metabelian)} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {773--779},
     publisher = {mathdoc},
     volume = {114},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_114_5_a9/}
}
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V. A. Roman'kov. Embedding of Free Nilpotent~(Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups. Matematičeskie zametki, Tome 114 (2023) no. 5, pp. 773-779. http://geodesic.mathdoc.fr/item/MZM_2023_114_5_a9/