Geodesic
Embeddings of partially commutative nilpotent groups
Matematičeskie zametki, Tome 116 (2024) no. 2, pp. 236-244

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We present an algorithm determining the existence of an isomorphic embedding of one finitely generated partially commutative nilpotent group of class $2$ in another. It is shown how such embeddings can be constructed. We also describe an algorithm determining the existence of an embedding of a finitely generated partially commutative nilpotent group of arbitrary class $l$ with respect to a graph of nonzero radius in a free nilpotent group of class $l$.
Keywords: nilpotent group, partially commutative group, embedding. 
@article{MZM_2024_116_2_a5,
     author = {A. L. Evtyagin and V. A. Roman'kov},
     title = {Embeddings of partially commutative nilpotent groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {236--244},
     publisher = {mathdoc},
     volume = {116},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2024_116_2_a5/}
}
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A. L. Evtyagin; V. A. Roman'kov. Embeddings of partially commutative nilpotent groups. Matematičeskie zametki, Tome 116 (2024) no. 2, pp. 236-244. http://geodesic.mathdoc.fr/item/MZM_2024_116_2_a5/