Diagonal direct limits of finite symmetric and alternating groups

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• Main Authors: Lavrenyuk, Y.V., Nekrashevych, V.V., Sushchansky, V.I.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154515
• 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.

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...