Lattice of normal subgroups of a group of local isometries of the boundary of a spherically homogeneous tree

• Date: 2008
• Main Authors: Lavrenyuk, Ya. V., Sushchanskii, V. I., Лавренюк, Я. В., Сущанский, В. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3249
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We describe the structure of the lattice of normal subgroups of the group of local isometries of the boundary of a spherically homogeneous tree LIsom ∂T. It is proved that every normal subgroup of this group contains its commutant. We characterize the quotient group of the group LIsom ∂T by its comm...