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 |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1013 |
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| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | 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. |
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