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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| Дата: | 2024 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2024
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-20652024-02-14T18:40:04Z On the LS-category of homomorphisms of groups with torsion Kuanyshov, N. cohomological dimension, group homomorphism 20J06;20K45;20K30;20K10 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. Lugansk National Taras Shevchenko University University of Florida 2024-02-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065 10.12958/adm2065 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2065/1047 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2065/1048 Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
cohomological dimension group homomorphism 20J06;20K45;20K30;20K10 |
| spellingShingle |
cohomological dimension group homomorphism 20J06;20K45;20K30;20K10 Kuanyshov, N. On the LS-category of homomorphisms of groups with torsion |
| topic_facet |
cohomological dimension group homomorphism 20J06;20K45;20K30;20K10 |
| format |
Article |
| author |
Kuanyshov, N. |
| author_facet |
Kuanyshov, N. |
| author_sort |
Kuanyshov, N. |
| title |
On the LS-category of homomorphisms of groups with torsion |
| title_short |
On the LS-category of homomorphisms of groups with torsion |
| title_full |
On the LS-category of homomorphisms of groups with torsion |
| title_fullStr |
On the LS-category of homomorphisms of groups with torsion |
| title_full_unstemmed |
On the LS-category of homomorphisms of groups with torsion |
| title_sort |
on the ls-category of homomorphisms of groups with torsion |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2065 |
| work_keys_str_mv |
AT kuanyshovn onthelscategoryofhomomorphismsofgroupswithtorsion |
| first_indexed |
2024-04-12T06:25:42Z |
| last_indexed |
2024-04-12T06:25:42Z |
| _version_ |
1796109208319426560 |