On Embeddings in the Class of Partially Commutative Nilpotent Groups

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 \(l\) .