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The Distribution of Descents in Fixed Conjugacy Classes of the Symmetric Groups

✍ Scribed by Jason Fulman

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
191 KB
Volume
84
Category
Article
ISSN
0097-3165

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✦ Synopsis

The distribution of descents in a fixed conjugacy class of S n is studied and it is shown that its moments have a remarkable property. This is proven two ways: one via generating functions and the other via a combinatorial algorithm. This leads to an asymptotic normality theorem for the number of descents and major index in conjugacy classes of S n with large cycles.

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