Diagonal direct limits of finite symmetric and alternating groups

Y. V. Lavrenyuk, V. V. Nekrashevych, V. I. Sushchansky


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.


locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions

Full Text:



  • There are currently no refbacks.