Algebra and discrete mathematics, no. 2 (2007), pp. 91-103
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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/
@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},
year = {2007},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_2_a7/}
}
TY - JOUR
AU - C. K. Gupta
AU - N. D. Gupta
AU - A. S. Oliynyk
TI - Free products of finite groups acting on regular rooted trees
JO - Algebra and discrete mathematics
PY - 2007
SP - 91
EP - 103
IS - 2
UR - http://geodesic.mathdoc.fr/item/ADM_2007_2_a7/
LA - en
ID - ADM_2007_2_a7
ER -
%0 Journal Article
%A C. K. Gupta
%A N. D. Gupta
%A A. S. Oliynyk
%T Free products of finite groups acting on regular rooted trees
%J Algebra and discrete mathematics
%D 2007
%P 91-103
%N 2
%U http://geodesic.mathdoc.fr/item/ADM_2007_2_a7/
%G en
%F ADM_2007_2_a7
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.
