Diagonal direct limits of finite symmetric and alternating groups

Diagonal direct limits of finite symmetric and alternating groups

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...

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Datum:2018
Hauptverfasser: Lavrenyuk, Y. V., Nekrashevych, V. V., Sushchansky, V. I.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
Schlagworte:
locally finite simple groups
diagonal embeddings
direct limits
measure-preserving actions
20F50
20E32; 20E08
37A15
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung: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.

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