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

  • Ya. V. Lavrenyuk
  • V. I. Sushchanskii

Abstract

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 commutant.
Published
25.10.2008
How to Cite
Lavrenyuk, Y. V., and V. I. Sushchanskii. “Lattice of Normal Subgroups of a Group of Local Isometries of the Boundary of a Spherically Homogeneous Tree”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 10, Oct. 2008, pp. 1350–1356, https://umj.imath.kiev.ua/index.php/umj/article/view/3249.
Section
Research articles