Khmelnitskii N. A.
Ukr. Mat. Zh. - 2014. - 66, № 12. - pp. 1694-1704
The Cockcroft–Swan theorem is proved for $n$-dimensional projective crossed chain complexes $(Pi,G, ∂_i)$, where $G = A * F$ is a free product of a fixed group $A$ by a free finitely generated group $F$.
Ukr. Mat. Zh. - 2012. - 64, № 6. - pp. 826-835
We obtain a necessary and sufficient condition for $n$-dimensional chain complexes composed of finitely generated projective modules to be stabilized by free modules to the chain equivalence.
Ukr. Mat. Zh. - 2002. - 54, № 7. - pp. 991-997
We investigate locally nilpotent groups with weak conditions of π-layer minimality and π-layer maximality.