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