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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 378, Pages 17–31 (Mi znsl3824)

This article is cited in 6 papers

Indecomposable characters of the group of rational rearrangements of the segment

E. E. Goryachko, F. V. Petrov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

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.

UDC: 512.547+517.986

Received: 29.09.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 174:1, 7–14

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