Abstract:
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 $l$.
The work was carried out within the framework of the state assignment of the
Institute of Mathematics of the Siberian Branch of Russian Academy of
Sciences, project FWNF-2022-0003.
Citation:
A. L. Evtyagin, V. A. Roman'kov, “Embeddings of partially commutative nilpotent groups”, Mat. Zametki, 116:2 (2024), 236–244; Math. Notes, 116:2 (2024), 258–264