Нормальное строение группы локальных изометрий границы сферически однородного дерева

Abstract

The normal structure of the locally isometry group LIsom ∂T of a spherically homogeneous tree boundary is investigated. It is proved that every closed normal subgroup of this group contains a commutant of LIsom ∂T. The quotient of LIsom ∂T by its commutant is found.