On dimension of product of groups

On dimension of product of groups

We prove the product formula \(\operatorname{cd}(\Gamma\times\Gamma)=2\operatorname{cd}\Gamma\) for cohomological dimension of geometrically finite groups.

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Bibliographic Details
Date:2020
Main Author: Dranishnikov, Alexander
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2020
Subjects:
product of groups
cohomological dimension
20F99
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1496
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1496
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-14962020-02-10T19:12:26Z On dimension of product of groups Dranishnikov, Alexander product of groups, cohomological dimension 20F99 We prove the product formula \(\operatorname{cd}(\Gamma\times\Gamma)=2\operatorname{cd}\Gamma\) for cohomological dimension of geometrically finite groups. Lugansk National Taras Shevchenko University 2020-02-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1496 Algebra and Discrete Mathematics; Vol 28, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1496/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1496/622 Copyright (c) 2020 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2020-02-10T19:12:26Z
collection OJS
language English
topic product of groups
cohomological dimension
20F99
spellingShingle product of groups
cohomological dimension
20F99
Dranishnikov, Alexander
On dimension of product of groups
topic_facet product of groups
cohomological dimension
20F99
format Article
author Dranishnikov, Alexander
author_facet Dranishnikov, Alexander
author_sort Dranishnikov, Alexander
title On dimension of product of groups
title_short On dimension of product of groups
title_full On dimension of product of groups
title_fullStr On dimension of product of groups
title_full_unstemmed On dimension of product of groups
title_sort on dimension of product of groups
description We prove the product formula \(\operatorname{cd}(\Gamma\times\Gamma)=2\operatorname{cd}\Gamma\) for cohomological dimension of geometrically finite groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2020
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1496
work_keys_str_mv AT dranishnikovalexander ondimensionofproductofgroups
first_indexed 2025-07-17T10:35:14Z
last_indexed 2025-07-17T10:35:14Z
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