The Distribution of Descents in Fixed Conjugacy Classes of the Symmetric
نویسنده
چکیده
The distribution of descents in a xed conjugacy class of Sn is studied and it is shown that its moments have a remarkable property. This is proven two ways: one way via generating functions and another way via a combinatorial algorithm. This leads to an asymptotic normality theorem for the number of descents and major index in conjugacy classes of Sn with large cycles. 3
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