2017
Том 69
№ 9

All Issues

Cockcroft–Swan Theorem for Projective Crossed Chain Complexes

Khmelnitskii N. A.


Abstract

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 $F$.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 12, pp 1904-1916.

Citation Example: Khmelnitskii N. A. Cockcroft–Swan Theorem for Projective Crossed Chain Complexes // Ukr. Mat. Zh. - 2014. - 66, № 12. - pp. 1694-1704.