On the LS-category of homomorphisms of groups with torsion

Nursultan Kuanyshov

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arXiv · 2302.10998

On the LS-category of homomorphisms of groups with torsion

Nursultan Kuanyshov

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Abstract

We prove the equality $\cat(\phi)=\cd(\phi)$ 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 $\Gamma$.

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Nursultan Kuanyshov. 2023-02-21. On the LS-category of homomorphisms of groups with torsion. https://arxiv.org/abs/2302.10998

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