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Erratum for “On the LS-category of homomorphisms of groups with torsion”

Erratum for “On the LS-category of homomorphisms of groups with torsion”

Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between...

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Main Author: Kuanyshov, Nursultan
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
Lusternik-Schnirelmann category
cohomological dimension
group homomorphism
Primary 55M30; Secondary 55M25
57R65
57R67
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-23082024-09-23T09:29:11Z Erratum for “On the LS-category of homomorphisms of groups with torsion” Kuanyshov, Nursultan Lusternik-Schnirelmann category, cohomological dimension, group homomorphism Primary 55M30; Secondary 55M25, 57R65, 57R67 Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between finitely generated abelian groups \(\Gamma\) and \(\Lambda\), where \(\phi(T(\Gamma))=0\) for the torsion subgroups \(T(\Gamma)\) of \(\Gamma\).     Lugansk National Taras Shevchenko University 2024-09-23 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308 10.12958/adm2308 Algebra and Discrete Mathematics; Vol 38, No 1 (2024) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2308/1217 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2308/1218 Copyright (c) 2024 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2024-09-23T09:29:11Z
collection OJS
language English
topic Lusternik-Schnirelmann category
cohomological dimension
group homomorphism
Primary 55M30; Secondary 55M25
57R65
57R67
spellingShingle Lusternik-Schnirelmann category
cohomological dimension
group homomorphism
Primary 55M30; Secondary 55M25
57R65
57R67
Kuanyshov, Nursultan
Erratum for “On the LS-category of homomorphisms of groups with torsion”
topic_facet Lusternik-Schnirelmann category
cohomological dimension
group homomorphism
Primary 55M30; Secondary 55M25
57R65
57R67
format Article
author Kuanyshov, Nursultan
author_facet Kuanyshov, Nursultan
author_sort Kuanyshov, Nursultan
title Erratum for “On the LS-category of homomorphisms of groups with torsion”
title_short Erratum for “On the LS-category of homomorphisms of groups with torsion”
title_full Erratum for “On the LS-category of homomorphisms of groups with torsion”
title_fullStr Erratum for “On the LS-category of homomorphisms of groups with torsion”
title_full_unstemmed Erratum for “On the LS-category of homomorphisms of groups with torsion”
title_sort erratum for “on the ls-category of homomorphisms of groups with torsion”
description Our previous paper [4] has an error in the proof of Theorem 1.3. In the paper, we give a counterexample for Theorem 1.3 in [4]. We present the correct formulation of Theorem 1.2, in which we prove the equality \(\text{cat}(\phi)=\text{cd}(\phi)\) for homomorphisms \(\phi:\Gamma\to \Lambda\) between finitely generated abelian groups \(\Gamma\) and \(\Lambda\), where \(\phi(T(\Gamma))=0\) for the torsion subgroups \(T(\Gamma)\) of \(\Gamma\).    
publisher Lugansk National Taras Shevchenko University
publishDate 2024
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2308
work_keys_str_mv AT kuanyshovnursultan erratumforonthelscategoryofhomomorphismsofgroupswithtorsion
first_indexed 2024-09-24T04:03:46Z
last_indexed 2024-09-24T04:03:46Z
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