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.
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157354 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Gupta, C.K. Gupta, N.D. Oliynyk, A.S. 2019-06-20T02:45:52Z 2019-06-20T02:45:52Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/157354 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. The paper was mainly written during the visit of third author to the University of Manitoba. The third author express his gratitude for this Institution for its hospitality. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Free products of finite groups acting on regular rooted trees Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Free products of finite groups acting on regular rooted trees |
| spellingShingle |
Free products of finite groups acting on regular rooted trees Gupta, C.K. Gupta, N.D. Oliynyk, A.S. |
| 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 |
| author |
Gupta, C.K. Gupta, N.D. Oliynyk, A.S. |
| author_facet |
Gupta, C.K. Gupta, N.D. Oliynyk, A.S. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT guptack freeproductsoffinitegroupsactingonregularrootedtrees AT guptand freeproductsoffinitegroupsactingonregularrootedtrees AT oliynykas freeproductsoffinitegroupsactingonregularrootedtrees |
| first_indexed |
2025-12-07T17:25:08Z |
| last_indexed |
2025-12-07T17:25:08Z |
| _version_ |
1850871181707575296 |