Abstract:
An approach to a classification of groups of line and circle homeomorphisms is discussed, based on chains of inclusions and correspondences of group classes which are induced by various characteristics of the groups.
Bibliography: 60 titles.
Keywords:
groups of line (circle) homeomorphisms, projectively invariant measures, amenability, free subgroups, growth of a group.
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 12-01-00768-a) and the programme "Leading Scientific Schools" (grant no. НШ-5998.2012.1).
Citation:
L. A. Beklaryan, “Groups of line and circle homeomorphisms. Metric invariants and questions of classification”, Russian Math. Surveys, 70:2 (2015), 203–248