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.
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/
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     title = {Embedding of {Free} {Nilpotent~(Metabelian)} {Groups} in {Partially} {Commutative} {Nilpotent} {(Metabelian)} {Groups}},
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     pages = {773--779},
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