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 symmetric a...
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| Datum: | 2018 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-6422018-04-04T09:14:15Z Diagonal direct limits of finite symmetric and alternating groups Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions 20F50, 20E32; 20E08, 37A15 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642 Algebra and Discrete Mathematics; Vol 10, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642/176 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T09:14:15Z |
| collection |
OJS |
| language |
English |
| topic |
locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15 |
| spellingShingle |
locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15 Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. Diagonal direct limits of finite symmetric and alternating groups |
| topic_facet |
locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15 |
| format |
Article |
| author |
Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. |
| author_facet |
Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. |
| author_sort |
Lavrenyuk, Y. V. |
| title |
Diagonal direct limits of finite symmetric and alternating groups |
| 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 |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642 |
| work_keys_str_mv |
AT lavrenyukyv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT nekrashevychvv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT sushchanskyvi diagonaldirectlimitsoffinitesymmetricandalternatinggroups |
| first_indexed |
2025-07-17T10:36:28Z |
| last_indexed |
2025-07-17T10:36:28Z |
| _version_ |
1837890104551538688 |