Diagonal direct limits of finite symmetric and alternating groups
Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees.
 
 We describe a new method of classification of such permutation groups, and use this method to find a complete classification of diagonal direct l...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2010 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154515 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Diagonal direct limits of finite symmetric and alternating groups / Y.V. Lavrenyuk, V.V. Nekrashevych, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 67–83. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619096808423424 |
|---|---|
| author | Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| author_facet | Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| citation_txt | Diagonal direct limits of finite symmetric and alternating groups / Y.V. Lavrenyuk, V.V. Nekrashevych, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 67–83. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees.

We describe a new method of classification of such permutation groups, and use this method to find a complete classification of diagonal direct limits of symmetric and alternating groups up to isomorphisms.
|
| first_indexed | 2025-12-07T13:16:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154515 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:16:32Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. 2019-06-15T16:23:08Z 2019-06-15T16:23:08Z 2010 Diagonal direct limits of finite symmetric and alternating groups / Y.V. Lavrenyuk, V.V. Nekrashevych, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2010. — Vol. 10, № 1. — С. 67–83. — Бібліогр.: 19 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20F50, 20E32; 20E08, 37A15. https://nasplib.isofts.kiev.ua/handle/123456789/154515 Diagonal direct limits of permutation groups are studied using their representations by homeomorphisms of the boundary of rooted trees.
 
 We describe a new method of classification of such permutation groups, and use this method to find a complete classification of diagonal direct limits of symmetric and alternating groups up to isomorphisms. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Diagonal direct limits of finite symmetric and alternating groups Article published earlier |
| spellingShingle | Diagonal direct limits of finite symmetric and alternating groups Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| title | Diagonal direct limits of finite symmetric and alternating groups |
| title_full | Diagonal direct limits of finite symmetric and alternating groups |
| title_fullStr | Diagonal direct limits of finite symmetric and alternating groups |
| title_full_unstemmed | Diagonal direct limits of finite symmetric and alternating groups |
| title_short | Diagonal direct limits of finite symmetric and alternating groups |
| title_sort | diagonal direct limits of finite symmetric and alternating groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154515 |
| work_keys_str_mv | AT lavrenyukyv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT nekrashevychvv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT sushchanskyvi diagonaldirectlimitsoffinitesymmetricandalternatinggroups |