Cardinality of Rauzy classes

Details Cardinality of Rauzy classes Cardinality of Rauzy classes

2011-06-04

arxiv.org/abs/1106.0807v1

Mathematics

Combinatorics

43 pages, 22 figures

Scientific paper

Rauzy classes define a partition of the set of irreducible (or
indecomposable) permutations. They were defined by G. Rauzy as part of an
induction algorithm for interval exchange transformations. In this article we
prove an explicit formula for the cardinality of all Rauzy classes.

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