A geometrical interpretation of infinite wreath powers
A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal clo...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1059 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543048303902720 |
|---|---|
| author | Mikaelian, Vahagn H. |
| author_facet | Mikaelian, Vahagn H. |
| author_sort | Mikaelian, Vahagn H. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:40:33Z |
| description | A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal closure of one of the generators is locally soluble. |
| first_indexed | 2025-12-02T15:49:55Z |
| format | Article |
| id | admjournalluguniveduua-article-1059 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:49:55Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10592018-04-26T02:40:33Z A geometrical interpretation of infinite wreath powers Mikaelian, Vahagn H. 2-generator groups, soluble groups, locally soluble groups, wreath products, infinite wreath products, graphs, automorphisms of graphs 20E08, 20E22, 20F16 A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal closure of one of the generators is locally soluble. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1059 Algebra and Discrete Mathematics; Vol 18, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1059/581 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | 2-generator groups soluble groups locally soluble groups wreath products infinite wreath products graphs automorphisms of graphs 20E08 20E22 20F16 Mikaelian, Vahagn H. A geometrical interpretation of infinite wreath powers |
| title | A geometrical interpretation of infinite wreath powers |
| title_full | A geometrical interpretation of infinite wreath powers |
| title_fullStr | A geometrical interpretation of infinite wreath powers |
| title_full_unstemmed | A geometrical interpretation of infinite wreath powers |
| title_short | A geometrical interpretation of infinite wreath powers |
| title_sort | geometrical interpretation of infinite wreath powers |
| topic | 2-generator groups soluble groups locally soluble groups wreath products infinite wreath products graphs automorphisms of graphs 20E08 20E22 20F16 |
| topic_facet | 2-generator groups soluble groups locally soluble groups wreath products infinite wreath products graphs automorphisms of graphs 20E08 20E22 20F16 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1059 |
| work_keys_str_mv | AT mikaelianvahagnh ageometricalinterpretationofinfinitewreathpowers AT mikaelianvahagnh geometricalinterpretationofinfinitewreathpowers |