Mathematics – Geometric Topology
Scientific paper
2010-11-21
Mathematics
Geometric Topology
15 pages, added reference to the work of Letsche
Scientific paper
In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let $\pi$ be a group and let $M \to N$ be a homomorphism between projective $\Z[\pi]$-modules such that $\Z_p \otimes_{\Z[\pi]} M\to \Z_p \otimes_{\Z[\pi]} N$ is injective; for which other right $\Z[\pi]$-modules $V$ is the induced map $V \otimes_{\Z[\pi]} M\to V\otimes_{\Z[\pi]}N$ also injective? Our main theorem gives a new criterion which combines and generalizes many previous results.
Friedl Stefan
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