On the LS-category of homomorphism of almost nilpotent groups

Nursultan Kuanyshov

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arXiv · 2308.14886

On the LS-category of homomorphism of almost nilpotent groups

Nursultan Kuanyshov

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Abstract

We prove the equality $\cat(\phi)=\cd(\phi)$ for epimorphisms $\phi:\Gamma\to \Lambda$ between torsion-free, finitely generated almost nilpotent groups $\Gamma$ and $\Lambda$. In addition, we prove the equality $\cat(\phi)=\cd(\phi)$ for homomorphisms $\phi:\Gamma\to \Lambda$ between torsion-free, finitely generated virtually nilpotent groups.

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Nursultan Kuanyshov. 2023-08-28. On the LS-category of homomorphism of almost nilpotent groups. https://arxiv.org/abs/2308.14886

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