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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| Date: | 2007 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.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. |