Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups

The aim of this note is to prove that there are \(2^{\aleph_0}\) non-isomorphic 2 generated just-infinite branch pro-2 groups.

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Date:2018
Main Authors: Benli, Mustafa Gökhan, Grigorchuk, Rostislav
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1171
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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-1171
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-11712018-05-17T07:50:53Z Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups Benli, Mustafa Gökhan Grigorchuk, Rostislav The aim of this note is to prove that there are \(2^{\aleph_0}\) non-isomorphic 2 generated just-infinite branch pro-2 groups. Lugansk National Taras Shevchenko University 2018-05-17 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1171 Algebra and Discrete Mathematics; Vol 19, No 1 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1171/660 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic

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Benli, Mustafa Gökhan
Grigorchuk, Rostislav
Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
topic_facet

format Article
author Benli, Mustafa Gökhan
Grigorchuk, Rostislav
author_facet Benli, Mustafa Gökhan
Grigorchuk, Rostislav
author_sort Benli, Mustafa Gökhan
title Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
title_short Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
title_full Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
title_fullStr Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
title_full_unstemmed Uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
title_sort uncountably many \(2\)-generated just-infinite branch pro-\(2\) groups
description The aim of this note is to prove that there are \(2^{\aleph_0}\) non-isomorphic 2 generated just-infinite branch pro-2 groups.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1171
work_keys_str_mv AT benlimustafagokhan uncountablymany2generatedjustinfinitebranchpro2groups
AT grigorchukrostislav uncountablymany2generatedjustinfinitebranchpro2groups
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last_indexed 2024-04-12T06:26:01Z
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