We provide sufficient conditions for the multi-EGS groups to be liftable and thus produce new examples of groups acting transitively on regular trees of finite degree stabilizing one of the ends, whose closures are scale groups as defined by Willis. Additionally, we explicitly compute the contracting nuclei of the groups in this class. We also specialize our results to the classes of multi-edge spinal group and EGS-groups.

翻译：我们为多EGS群提供了可提升的充分条件，从而构造出在有限度正则树上传递作用且稳定其中一个端的新群类，其闭包构成Willis所定义的尺度群。此外，我们精确计算了该类群的收缩核。我们还将结果具体应用于多边脊髓群和EGS群类。