On simple groups of large exponents
It is shown that the set of pairwise non-isomorphic
 2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or
 divisible by 2⁹
 ) is of cardinality continuum. As a corollary, for any
 sufficiently large n the set of pairwise non-isomorphic 2-generated&...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/156601 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734880691978240 |
|---|---|
| author | Sonkin, D. |
| author_facet | Sonkin, D. |
| citation_txt | On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | It is shown that the set of pairwise non-isomorphic
2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or
divisible by 2⁹
) 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 | 2025-12-07T19:45:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156601 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:45:28Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Sonkin, D. 2019-06-18T17:41:19Z 2019-06-18T17:41:19Z 2004 On simple groups of large exponents / D. Sonkin // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 79–105. — Бібліогр.: 10 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20F50; 20F05, 20F06. https://nasplib.isofts.kiev.ua/handle/123456789/156601 It is shown that the set of pairwise non-isomorphic
 2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or
 divisible by 2⁹
 ) 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. The author wishes to thank S.V. Ivanov for helpful discussions. The
 author is greatly thankful to A.Yu.Ol’shanskii for suggesting the problem,
 useful discussions, comments and constant encouragement. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On simple groups of large exponents Article published earlier |
| spellingShingle | On simple groups of large exponents Sonkin, D. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156601 |
| work_keys_str_mv | AT sonkind onsimplegroupsoflargeexponents |