Ukrainian Mathematical Journal

, Volume 60, Issue 10, pp 1574–1580 | Cite as

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

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

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.


Normal Subgroup Rooted Tree Quotient Group Isometry Group Homogeneous Tree 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • Ya. V. Lavrenyuk
    • 1
  • V. I. Sushchanskii
    • 2
  1. 1.Shevchenko National UniversityKievUkraine
  2. 2.Silesian University of TechnologyGliwicePoland

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