Intersections of Sylow 2-subgroups in symmetric groups

2025/06/13 by Eberhard, Sean · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2506.11609

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).

Citations

• Sylow subgroups for distinct primes and intersection of nilpotent subgroups
• On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Cited by

• On the intersections of nilpotent subgroups in simple groups

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