Lattice of normal subgroups of a group of local isometries of the boundary of a spherically homogeneous tree
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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.
KeywordsNormal Subgroup Rooted Tree Quotient Group Isometry Group Homogeneous Tree
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