On the LS-category of homomorphisms of groups with torsion

• Datum: 2024
• 1. Verfasser: Kuanyshov, N.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2024
• Schlagworte: cohomological dimension; group homomorphism; 20J06;20K45;20K30;20K10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065
• Назва журналу: Algebra and Discrete Mathematics

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...