On simple groups of large exponents
It is shown that the set of pairwise non-isomorphic \(2\)-generated simple groups of exponent \(n\) (\(n \ge 2^{48}\) and \(n\) is odd or divisible by \(2^9\)) is of cardinality continuum. As a corollary, for any sufficiently large \(n\) the set of pairwise non-isomorphic \(2\)-generated groups of e...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543330377138176 |
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| author | Sonkin, Dmitriy |
| author_facet | Sonkin, Dmitriy |
| author_sort | Sonkin, Dmitriy |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:58:22Z |
| description | It is shown that the set of pairwise non-isomorphic \(2\)-generated simple groups of exponent \(n\) (\(n \ge 2^{48}\) and \(n\) is odd or divisible by \(2^9\)) is of cardinality continuum. As a corollary, for any sufficiently large \(n\) the set of pairwise non-isomorphic \(2\)-generated groups of exponent \(n\) is of cardinality continuum. |
| first_indexed | 2026-02-08T08:01:31Z |
| format | Article |
| id | admjournalluguniveduua-article-1013 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:01:31Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10132018-05-15T06:58:22Z On simple groups of large exponents Sonkin, Dmitriy Burnside group, van Kampen diagram, graded diagram, graded presentation, non-isomorphic 2-generated torsion simple groups 20F50; 20F05, 20F06 It is shown that the set of pairwise non-isomorphic \(2\)-generated simple groups of exponent \(n\) (\(n \ge 2^{48}\) and \(n\) is odd or divisible by \(2^9\)) is of cardinality continuum. As a corollary, for any sufficiently large \(n\) the set of pairwise non-isomorphic \(2\)-generated groups of exponent \(n\) is of cardinality continuum. Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013 Algebra and Discrete Mathematics; Vol 3, No 4 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013/542 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Burnside group van Kampen diagram graded diagram graded presentation non-isomorphic 2-generated torsion simple groups 20F50; 20F05 20F06 Sonkin, Dmitriy On simple groups of large exponents |
| title | On simple groups of large exponents |
| title_full | On simple groups of large exponents |
| title_fullStr | On simple groups of large exponents |
| title_full_unstemmed | On simple groups of large exponents |
| title_short | On simple groups of large exponents |
| title_sort | on simple groups of large exponents |
| topic | Burnside group van Kampen diagram graded diagram graded presentation non-isomorphic 2-generated torsion simple groups 20F50; 20F05 20F06 |
| topic_facet | Burnside group van Kampen diagram graded diagram graded presentation non-isomorphic 2-generated torsion simple groups 20F50; 20F05 20F06 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013 |
| work_keys_str_mv | AT sonkindmitriy onsimplegroupsoflargeexponents |