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Algebra and Discrete Mathematics, 2007, Issue 2, Pages 91–103
(Mi adm208)
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This article is cited in 4 scientific papers (total in 4 papers)
RESEARCH ARTICLE
Free products of finite groups acting on regular rooted trees
C. K. Guptaa, N. D. Guptaa, A. S. Oliynykb a Department of Mathematics and Astronomy, The University of Manitoba, R3T 2N2 Winnipeg, Canada
b Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, Volodymyrska 60, 01033 Kyiv,
Ukraine
Abstract:
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.
Citation:
C. K. Gupta, N. D. Gupta, A. S. Oliynyk, “Free products of finite groups acting on regular rooted trees”, Algebra Discrete Math., 2007, no. 2, 91–103
Linking options:
https://www.mathnet.ru/eng/adm208 https://www.mathnet.ru/eng/adm/y2007/i2/p91
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Statistics & downloads: |
Abstract page: | 141 | Full-text PDF : | 62 | First page: | 1 |
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