On the LS-category of homomorphisms of groups with torsion

Kuanyshov N.
2023 Lugansk Taras Shevchenko National University

Algebra and Discrete Mathematics
2023 #36 Issue 2 166 - 178 pp.

We prove the equality cat(ϕ) = cd(ϕ) for homomorphisms ϕ: Γ → Λ of any finitely generated abelian group Γ. In addition, we prove that the Lusternik-Schnirelmann category and the cohomological dimension of any nonzero homomorphism of a torsion group cannot be finite.

cohomological dimension , group homomorphism

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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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