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Factorizations of permutations into star transpositions

John Irving·Amarpreet Rattan
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Abstract

We give a compact expression for the number of factorizations of any permutation into a minimal number of transpositions of the form $(1 i)$. Our result generalizes earlier work of Pak in which substantial restrictions were placed on the permutation being factored.

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John Irving, Amarpreet Rattan. 2014-05-20. Factorizations of permutations into star transpositions. https://arxiv.org/abs/math/0610640

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