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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| 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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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-05-15T06:58:22Z |
| collection |
OJS |
| language |
English |
| topic |
Burnside group van Kampen diagram graded diagram graded presentation non-isomorphic 2-generated torsion simple groups 20F50; 20F05 20F06 |
| 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 |
| topic_facet |
Burnside group van Kampen diagram graded diagram graded presentation non-isomorphic 2-generated torsion simple groups 20F50; 20F05 20F06 |
| format |
Article |
| author |
Sonkin, Dmitriy |
| author_facet |
Sonkin, Dmitriy |
| author_sort |
Sonkin, Dmitriy |
| title |
On simple groups of large exponents |
| title_short |
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_sort |
on simple groups of large exponents |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013 |
| work_keys_str_mv |
AT sonkindmitriy onsimplegroupsoflargeexponents |
| first_indexed |
2025-07-17T10:35:58Z |
| last_indexed |
2025-07-17T10:35:58Z |
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1837890073126764544 |