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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Дата:	2018
Автори:	Lavrenyuk, Y. V., Nekrashevych, V. V., Sushchansky, V. I.
Формат:	Стаття
Мова:	English
Опубліковано:	Lugansk National Taras Shevchenko University 2018
Теми:	locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15
Онлайн доступ:	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

id	oai:ojs.admjournal.luguniv.edu.ua:article-642
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-6422018-04-04T09:14:15Z Diagonal direct limits of finite symmetric and alternating groups Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. locally finite simple groups, diagonal embeddings, direct limits, measure-preserving actions 20F50, 20E32; 20E08, 37A15 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. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642 Algebra and Discrete Mathematics; Vol 10, No 1 (2010) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642/176 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
collection	OJS
language	English
topic	locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15
spellingShingle	locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15 Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I. Diagonal direct limits of finite symmetric and alternating groups
topic_facet	locally finite simple groups diagonal embeddings direct limits measure-preserving actions 20F50 20E32; 20E08 37A15
format	Article
author	Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I.
author_facet	Lavrenyuk, Y. V. Nekrashevych, V. V. Sushchansky, V. I.
author_sort	Lavrenyuk, Y. V.
title	Diagonal direct limits of finite symmetric and alternating groups
title_short	Diagonal direct limits of finite symmetric and alternating groups
title_full	Diagonal direct limits of finite symmetric and alternating groups
title_fullStr	Diagonal direct limits of finite symmetric and alternating groups
title_full_unstemmed	Diagonal direct limits of finite symmetric and alternating groups
title_sort	diagonal direct limits of finite symmetric and alternating groups
description	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.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/642
work_keys_str_mv	AT lavrenyukyv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT nekrashevychvv diagonaldirectlimitsoffinitesymmetricandalternatinggroups AT sushchanskyvi diagonaldirectlimitsoffinitesymmetricandalternatinggroups
first_indexed	2024-04-12T06:26:13Z
last_indexed	2024-04-12T06:26:13Z
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Diagonal direct limits of finite symmetric and alternating groups

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