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 |
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