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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 10, pp. 1350–1356, October, 2008.
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Lavrenyuk, Y.V., Sushchanskii, V.I. Lattice of normal subgroups of a group of local isometries of the boundary of a spherically homogeneous tree. Ukr Math J 60, 1574–1580 (2008). https://doi.org/10.1007/s11253-009-0154-8
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DOI: https://doi.org/10.1007/s11253-009-0154-8