On the LS-category of homomorphisms of groups with torsion
We prove the equality cat\((\phi)=\)cd\((\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) of any finitely generated abelian group \(\Gamma\). In addition, we prove that the Lusternik-Schnirelmann category and the cohomological dimension of any nonzero homomorphism of a torsion group cannot be fi...
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| Date: | 2024 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2024
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065 |
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| Journal Title: | Algebra and Discrete Mathematics |