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Algebra and Discrete Mathematics, 2015, том 19, выпуск 1, страницы 19–38
(Mi adm503)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
RESEARCH ARTICLE
Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees
Agnieszka Bier, Vitaliy Sushchansky Silesian University of Technology, Institute of Mathematics
Аннотация:
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.
Ключевые слова:
Sylow $p$-subgroups of wreath products of groups, homogeneous rooted trees, automorphisms of trees.
Поступила в редакцию: 09.03.2015 Исправленный вариант: 09.03.2015
Образец цитирования:
Agnieszka Bier, Vitaliy Sushchansky, “Kaluzhnin's representations of Sylow $p$-subgroups of automorphism groups of $p$-adic rooted trees”, Algebra Discrete Math., 19:1 (2015), 19–38
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm503 https://www.mathnet.ru/rus/adm/v19/i1/p19
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Страница аннотации: | 273 | PDF полного текста: | 92 | Список литературы: | 78 |
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