### Erratum for “On the LS-category of homomorphisms of groups with torsion”

#### Abstract

Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between finitely generated abelian groups \(\Gamma\) and \(\Lambda\), where \(\phi(T(\Gamma))=0\) for the torsion subgroups \(T(\Gamma)\) of \(\Gamma\).

#### Keywords

Lusternik-Schnirelmann category, cohomological dimension, group homomorphism

#### Full Text:

PDFDOI: http://dx.doi.org/10.12958/adm2308

### Refbacks

- There are currently no refbacks.