On the asymptotic equidistribution of word values in symmetric groups

Fuente: arXiv
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Main Authors: Alekseev, Vadim, Schneider, Jakob, Thom, Andreas
Format: Preprint
Published: 2025
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author Alekseev, Vadim
Schneider, Jakob
Thom, Andreas
author_facet Alekseev, Vadim
Schneider, Jakob
Thom, Andreas
contents 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 $d$-tuples of elements of $\mathbb F_d$.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13928
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the asymptotic equidistribution of word values in symmetric groups
Alekseev, Vadim
Schneider, Jakob
Thom, Andreas
Group Theory
20F69, 20B30
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 $d$-tuples of elements of $\mathbb F_d$.
title On the asymptotic equidistribution of word values in symmetric groups
topic Group Theory
20F69, 20B30
url https://arxiv.org/abs/2507.13928