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

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Author: Szaszkowski, Z.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155718
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dynamics of finite groups acting on the boundary of homogenous rooted tree / Z. Szaszkowski // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 86–91. — Бібліогр.: 5 назв. — англ.

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.