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...
Збережено в:
| Видавець: | Lugansk National Taras Shevchenko University |
|---|---|
| Дата: | 2024 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2024
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
Організація
Algebra and Discrete Mathematics| Резюме: | 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 finite. |
|---|