Free products of finite groups acting on regular rooted trees

C. K. Gupta, N. D. Gupta, A. S. Oliynyk


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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