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Dynamics of finite groups acting on the boundary of homogenous rooted tree

Dynamics of finite groups acting on the boundary of homogenous rooted tree

Szaszkowski, Zbigniew
URI: http://hdl.handle.net/123456789/80
Date: 2003

Description:

Criterion of embedding of finite groups into the automorphism groups of a homogenous rooted tree of a spherical index n is formulated. The sets of natural numbers which are the lengths of all orbits of finite groups acting on the boundary of tree are described.

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    This is a special issue of the journal devoted to the jubilee of the outstanding Ukrainian and Russian mathematician, one of the founder of our journal Professor Rostislav Grigorchuk, who was 50 years of age on February 23, 2003.

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