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

• Datum: 2018
• 1. Verfasser: Szaszkowski, Zbigniew
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: automorphisms of trees; homogenous rooted trees; finite groups acting on a tree; 20B25; 20F32; 05C05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/974
• Назва журналу: Algebra and Discrete Mathematics

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.