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On the asymptotic equidistribution of word values in symmetric groups

Group Theory 2025-07-21 v1

Abstract

We prove an asymptotic equidistribution result for word values for words with constants in the symmetric group. We also speculate about simultaneous asymptotic equidistribution results for values of dd-tuples of elements of Fd\mathbb F_d.

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Cite

@article{arxiv.2507.13928,
  title  = {On the asymptotic equidistribution of word values in symmetric groups},
  author = {Vadim Alekseev and Jakob Schneider and Andreas Thom},
  journal= {arXiv preprint arXiv:2507.13928},
  year   = {2025}
}

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13 pages