Geodesic
Indecomposable characters of the group of rational rearrangements of the segment
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 17-31

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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. 
@article{ZNSL_2010_378_a1,
     author = {E. E. Goryachko and F. V. Petrov},
     title = {Indecomposable characters of the group of rational rearrangements of the segment},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {17--31},
     publisher = {mathdoc},
     volume = {378},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a1/}
}
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E. E. Goryachko; F. V. Petrov. Indecomposable characters of the group of rational rearrangements of the segment. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Tome 378 (2010), pp. 17-31. http://geodesic.mathdoc.fr/item/ZNSL_2010_378_a1/