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arXiv:2407.09824 [math.CO]AbstractReferencesReviewsResources

Central Limit Theorem on the Conjugacy Measure of Symmetric Groups

Yuhui Jin

Published 2024-07-13Version 1

Regarding the conjugacy representation on symmetric groups, we initiate a normalized measure emerging from this representation, namely the conjugacy measure. A central limit theorem for character ratios of random representations of the symmetric group on the conjugacy measure is obtained.

Comments: 8 pages
Categories: math.CO, math.PR
Subjects: 05Exx
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