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Algebra and Discrete Mathematics, 2010, том 10, выпуск 1, страницы 67–87
(Mi adm40)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
RESEARCH ARTICLE
Diagonal direct limits of finite symmetric and alternating groups
Y. V. Lavrenyuka, V. V. Nekrashevychb, V. I. Sushchanskyc a Kyiv Taras Shevchenko University Mechanics and Mathematics Faculty, Volodymyrska, 60, Kyiv, Ukraine 01033
b Department of Mathematics Texas A&M University, College Station, TX 77843-3368
c Institute of Mathematics Silesian University of Technology ul. Kaszubska 23, 44-100 Gliwice, POLAND
Аннотация:
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.
Ключевые слова:
locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions.
Поступила в редакцию: 08.04.2010 Исправленный вариант: 08.04.2010
Образец цитирования:
Y. V. Lavrenyuk, V. V. Nekrashevych, V. I. Sushchansky, “Diagonal direct limits of finite symmetric and alternating groups”, Algebra Discrete Math., 10:1 (2010), 67–87
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm40 https://www.mathnet.ru/rus/adm/v10/i1/p67
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Страница аннотации: | 216 | PDF полного текста: | 211 | Первая страница: | 1 |
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