Diagonal direct limits of finite symmetric and alternating groups

• Date: 2018
• Main Authors: Lavrenyuk, Y. V., Nekrashevych, V. V., Sushchansky, V. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: locally finite simple groups; diagonal embeddings; direct limits; measure-preserving actions; 20F50; 20E32; 20E08; 37A15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642
• Journal Title: Algebra and Discrete Mathematics

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...