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 limits of symmetr...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154515 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-154515 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Diagonal direct limits of finite symmetric and alternating groups |
| spellingShingle |
Diagonal direct limits of finite symmetric and alternating groups Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| title_short |
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_sort |
diagonal direct limits of finite symmetric and alternating groups |
| author |
Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| author_facet |
Lavrenyuk, Y.V. Nekrashevych, V.V. Sushchansky, V.I. |
| publishDate |
2010 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154515 |
| 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. |
| work_keys_str_mv |
AT lavrenyukyv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT nekrashevychvv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT sushchanskyvi diagonaldirectlimitsoffinitesymmetricandalternatinggroups |
| first_indexed |
2025-12-07T13:16:32Z |
| last_indexed |
2025-12-07T13:16:32Z |
| _version_ |
1850855540907835392 |