Cockcroft–Swan Theorem for Projective Crossed Chain Complexes

• Date: 2014
• Main Authors: Khmelnitskii, N. A., Хмельницкий, Н. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2255
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $F$.