Free products of finite groups acting on regular rooted trees
Let finite number of finite groups be given. Let n be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree contains subgroups isomorphic to the free product of given groups.
Збережено в:
| Дата: | 2007 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157354 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Free products of finite groups acting on regular rooted trees / C.K. Gupta, N.D. Gupta, A.S. Oliynyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 91–103. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157354 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1573542019-06-21T01:30:17Z Free products of finite groups acting on regular rooted trees Gupta, C.K. Gupta, N.D. Oliynyk, A.S. Let finite number of finite groups be given. Let n be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree contains subgroups isomorphic to the free product of given groups. 2007 Article Free products of finite groups acting on regular rooted trees / C.K. Gupta, N.D. Gupta, A.S. Oliynyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 91–103. — Бібліогр.: 11 назв. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/157354 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 |
Let finite number of finite groups be given. Let n
be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree
contains subgroups isomorphic to the free product of given groups. |
| format |
Article |
| author |
Gupta, C.K. Gupta, N.D. Oliynyk, A.S. |
| spellingShingle |
Gupta, C.K. Gupta, N.D. Oliynyk, A.S. Free products of finite groups acting on regular rooted trees Algebra and Discrete Mathematics |
| author_facet |
Gupta, C.K. Gupta, N.D. Oliynyk, A.S. |
| author_sort |
Gupta, C.K. |
| title |
Free products of finite groups acting on regular rooted trees |
| title_short |
Free products of finite groups acting on regular rooted trees |
| title_full |
Free products of finite groups acting on regular rooted trees |
| title_fullStr |
Free products of finite groups acting on regular rooted trees |
| title_full_unstemmed |
Free products of finite groups acting on regular rooted trees |
| title_sort |
free products of finite groups acting on regular rooted trees |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157354 |
| citation_txt |
Free products of finite groups acting on regular rooted trees / C.K. Gupta, N.D. Gupta, A.S. Oliynyk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 91–103. — Бібліогр.: 11 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT guptack freeproductsoffinitegroupsactingonregularrootedtrees AT guptand freeproductsoffinitegroupsactingonregularrootedtrees AT oliynykas freeproductsoffinitegroupsactingonregularrootedtrees |
| first_indexed |
2023-05-20T17:52:32Z |
| last_indexed |
2023-05-20T17:52:32Z |
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1796154294460743680 |