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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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543051806146560 |
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| author | Bier, Agnieszka Sushchansky, Vitaliy |
| author_facet | Bier, Agnieszka Sushchansky, Vitaliy |
| author_sort | Bier, Agnieszka |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:58:26Z |
| 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. |
| first_indexed | 2025-12-02T15:49:58Z |
| format | Article |
| id | admjournalluguniveduua-article-1172 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:49:58Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| 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 |
| topic | Sylow \(p\)-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07 |
| topic_facet | Sylow \(p\)-subgroups of wreath products of groups homogeneous rooted trees automorphisms of trees 20B27 20E08 20B22 20B35 20F65 20B07 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1172 |
| work_keys_str_mv | AT bieragnieszka kaluzhninsrepresentationsofsylowpsubgroupsofautomorphismgroupsofpadicrootedtrees AT sushchanskyvitaliy kaluzhninsrepresentationsofsylowpsubgroupsofautomorphismgroupsofpadicrootedtrees |