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arXiv · 2506.11609

Intersections of Sylow 2-subgroups in symmetric groups

Sean Eberhard
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Abstract

We compute the asymptotic probability that a random pair of Sylow 2-subgroups in $S_n$ or $A_n$ intersects trivially. This calculation complements recent work of Diaconis, Giannelli, Guralnick, Law, Navarro, Sambale, and Spink (see arXiv:2504.01149).

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Sean Eberhard. 2025-06-13. Intersections of Sylow 2-subgroups in symmetric groups. https://doi.org/10.1515/jgth-2025-0094

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