Free products of finite groups acting on regular rooted trees
Algebra and discrete mathematics, no. 2 (2007), pp. 91-103
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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.
@article{ADM_2007_2_a7,
author = {C. K. Gupta and N. D. Gupta and A. S. Oliynyk},
title = {Free products of finite groups acting on regular rooted trees},
journal = {Algebra and discrete mathematics},
pages = {91--103},
publisher = {mathdoc},
number = {2},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_2_a7/}
}
C. K. Gupta; N. D. Gupta; A. S. Oliynyk. Free products of finite groups acting on regular rooted trees. Algebra and discrete mathematics, no. 2 (2007), pp. 91-103. http://geodesic.mathdoc.fr/item/ADM_2007_2_a7/