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 rooted trees. Mos...

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Бібліографічні деталі
Дата:2015
Автори: Bier, A., Sushchansky, V.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2015
Назва видання:Algebra and Discrete Mathematics
Онлайн доступ:http://dspace.nbuv.gov.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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spelling irk-123456789-1527832019-06-13T01:25:07Z Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees Bier, A. Sushchansky, V. 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. 2015 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152783 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Bier, A.
Sushchansky, V.
spellingShingle Bier, A.
Sushchansky, V.
Kaluzhnin's representations of Sylow p-subgroups of automorphism groups of p-adic rooted trees
Algebra and Discrete Mathematics
author_facet Bier, A.
Sushchansky, V.
author_sort Bier, A.
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
publisher Інститут прикладної математики і механіки НАН України
publishDate 2015
url http://dspace.nbuv.gov.ua/handle/123456789/152783
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.
series Algebra and Discrete Mathematics
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first_indexed 2023-05-20T17:38:14Z
last_indexed 2023-05-20T17:38:14Z
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