On some invariants of conjugacy of disjoint iteration groups (Q1895209)

The first part of the paper provides a full description of disjoint iteration groups of continuous self-mappings of an open real interval. This is a completion of the author's result [Aequationes Math. 46, No. 1- 2, 19-37 (1993; Zbl 0801.39005)]. The main results (Theorems 1 and 2) give a characterization of conjugacy of disjoint iteration groups formulated in terms of the parameters of the preceding description. Proving them the author determines all homeomorphisms conjugated to the groups under consideration. A complete system of invariants of disjoint groups is also found and a method of determination of the invariants is presented.