Intersections of Sylow 2-subgroups in symmetric groups
Group Theory
2025-10-31 v2
Abstract
We compute the asymptotic probability that a random pair of Sylow 2-subgroups in or intersects trivially. This calculation complements recent work of Diaconis, Giannelli, Guralnick, Law, Navarro, Sambale, and Spink (see arXiv:2504.01149).
Cite
@article{arxiv.2506.11609,
title = {Intersections of Sylow 2-subgroups in symmetric groups},
author = {Sean Eberhard},
journal= {arXiv preprint arXiv:2506.11609},
year = {2025}
}
Comments
4 pages. To appear in the Journal of Group Theory