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 rooted trees. Mos...

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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2015
Автори: Bier, A., Sushchansky, V.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут прикладної математики і механіки НАН України 2015
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/152783
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees / A. Bier, V. Sushchansky // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 19-38. — Бібліогр.: 22 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bier, A.
Sushchansky, V.
author_facet Bier, A.
Sushchansky, V.
citation_txt Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees / A. Bier, V. Sushchansky // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 19-38. — Бібліогр.: 22 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
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.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-12-07T19:51:44Z
publishDate 2015
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Bier, A.
Sushchansky, V.
2019-06-12T20:48:07Z
2019-06-12T20:48:07Z
2015
Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees / A. Bier, V. Sushchansky // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 19-38. — Бібліогр.: 22 назв. — англ.
1726-3255
2010 MSC:20B27, 20E08, 20B22, 20B35, 20F65, 20B07.
https://nasplib.isofts.kiev.ua/handle/123456789/152783
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees
Article
published earlier
spellingShingle Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees
Bier, A.
Sushchansky, V.
title 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_short 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
url https://nasplib.isofts.kiev.ua/handle/123456789/152783
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AT sushchanskyv kaluzhninsrepresentationsofsylowpsubgroupsofautomorphismgroupsofpadicrootedtrees