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$Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees$

Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees

The paper concerns the Sylow $p$-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow $p$-subgroups of isometry groups of ultrametric Cantor $p$-spaces in terms of automorphism groups of roote...

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Main Authors:	Bier, Agnieszka, Sushchansky, Vitaliy
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	Sylow $p$-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172
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id	oai:ojs.admjournal.luguniv.edu.ua:article-1172
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-11722018-05-17T07:58:26Z Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees Bier, Agnieszka Sushchansky, Vitaliy Sylow $p$-subgroups of wreath products of groups, homogeneous rooted trees, automorphisms of trees 20B27, 20E08, 20B22, 20B35, 20F65, 20B07 The paper concerns the Sylow $p$-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow $p$-subgroups of isometry groups of ultrametric Cantor $p$-spaces in terms of automorphism groups of rooted trees. Most of the paper should be viewed as a systematic topical survey, however we include some new ideas in last sections. Lugansk National Taras Shevchenko University 2018-05-17 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172 Algebra and Discrete Mathematics; Vol 19, No 1 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172/661 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
collection	OJS
language	English
topic	Sylow $p$-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07
spellingShingle	Sylow $p$-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07 Bier, Agnieszka Sushchansky, Vitaliy Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
topic_facet	Sylow $p$-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07
format	Article
author	Bier, Agnieszka Sushchansky, Vitaliy
author_facet	Bier, Agnieszka Sushchansky, Vitaliy
author_sort	Bier, Agnieszka
title	Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
title_short	Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
title_full	Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
title_fullStr	Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
title_full_unstemmed	Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
title_sort	kaluzhnin's representations of sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
description	The paper concerns the Sylow $p$-subgroups of automorphism groups of level homogeneous rooted trees. We recall and summarize the results obtained by L.Kaluzhnin on the structure of Sylow $p$-subgroups of isometry groups of ultrametric Cantor $p$-spaces in terms of automorphism groups of rooted trees. Most of the paper should be viewed as a systematic topical survey, however we include some new ideas in last sections.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172
work_keys_str_mv	AT bieragnieszka kaluzhninsrepresentationsofsylowpsubgroupsofautomorphismgroupsofpadicrootedtrees AT sushchanskyvitaliy kaluzhninsrepresentationsofsylowpsubgroupsofautomorphismgroupsofpadicrootedtrees
first_indexed	2024-04-12T06:25:09Z
last_indexed	2024-04-12T06:25:09Z
_version_	1796109245335207936

Kaluzhnin's representations of Sylow \(p\)-subgroups of automorphism groups of \(p\)-adic rooted trees

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