On the LS-category of homomorphism of almost nilpotent groups
Kuanyshov N.
1 February 2024Elsevier B.V.
Topology and its Applications
2024#342
We prove the equality cat(ϕ)=cd(ϕ) for epimorphisms ϕ:Γ→Λ between torsion-free, finitely generated almost nilpotent groups Γ and Λ. In addition, we prove the equality cat(ϕ)=cd(ϕ) for homomorphisms ϕ:Γ→Λ between torsion-free, finitely generated virtually nilpotent groups.
Group homomorphism , Lusternik-Schnirelmann category
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Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, 32611-8105, FL, United States
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
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