|
Algebra and Discrete Mathematics, 2010, Volume 10, Issue 1, Pages 67–87
(Mi adm40)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
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
Abstract:
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.
Keywords:
locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions.
Received: 08.04.2010 Revised: 08.04.2010
Citation:
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
Linking options:
https://www.mathnet.ru/eng/adm40 https://www.mathnet.ru/eng/adm/v10/i1/p67
|
Statistics & downloads: |
Abstract page: | 210 | Full-text PDF : | 210 | First page: | 1 |
|