2017
Том 69
№ 9

All Issues

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

Lavrenyuk Ya. V., Sushchanskii V. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 10, pp 1574-1580.

Citation Example: Lavrenyuk Ya. V., Sushchanskii V. I. Lattice of normal subgroups of a group of local isometries of the boundary of a spherically homogeneous tree // Ukr. Mat. Zh. - 2008. - 60, № 10. - pp. 1350–1356.

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