A 2-generated 2-related group with no non-trivial finite quotients

We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.

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Datum:2018
Hauptverfasser: Ol’shanskii, A. Yu., Sapir, M. V.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/847
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-847
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spelling admjournalluguniveduua-article-8472018-03-21T11:59:09Z A 2-generated 2-related group with no non-trivial finite quotients Ol’shanskii, A. Yu. Sapir, M. V. We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/847 Algebra and Discrete Mathematics; Vol 6, No 2 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/847/377 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
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datestamp_date 2018-03-21T11:59:09Z
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language English
topic

spellingShingle

Ol’shanskii, A. Yu.
Sapir, M. V.
A 2-generated 2-related group with no non-trivial finite quotients
topic_facet

format Article
author Ol’shanskii, A. Yu.
Sapir, M. V.
author_facet Ol’shanskii, A. Yu.
Sapir, M. V.
author_sort Ol’shanskii, A. Yu.
title A 2-generated 2-related group with no non-trivial finite quotients
title_short A 2-generated 2-related group with no non-trivial finite quotients
title_full A 2-generated 2-related group with no non-trivial finite quotients
title_fullStr A 2-generated 2-related group with no non-trivial finite quotients
title_full_unstemmed A 2-generated 2-related group with no non-trivial finite quotients
title_sort 2-generated 2-related group with no non-trivial finite quotients
description We construct a 2-generated 2-related group without non-trivial finite factors-groups. This answers a question of J. Button.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/847
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AT sapirmv a2generated2relatedgroupwithnonontrivialfinitequotients
AT olshanskiiayu 2generated2relatedgroupwithnonontrivialfinitequotients
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