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

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2003
• 1. Verfasser: Szaszkowski, Z.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2003
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/155718
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.