Abstract:
We present a description of all indecomposable characters of the group of rational rearrangements of the segment. We use the Vershik–Kerov approach consisting in the approximation of indecomposable characters of countable groups by indecomposable characters of finite groups. Bibl. 9 titles.
Key words and phrases:rearrangements of the segment, indecomposable characters, periodic embeddings, Young diagrams, the Murnaghan–Nakayama rule.