R. Guralnick

most citedOn the number and sizes of double cosets of Sylow subgroups of the symmetric group

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.GR2025

Finite groups, commuting probability, and coprime automorphisms

Eloisa Detomi, Robert M. Guralnick, Marta Morigi +1

Given two subgroups $H, K$ of a finite group $G$ , the probability that a pair of random elements from $H$ and $K$ commutes is denoted by $P r (H, K)$ . Suppose that a finite group $G$ a…

math.GR2025★ 1 cited

On the number and sizes of double cosets of Sylow subgroups of the symmetric group

Persi Diaconis, Eugenio Giannelli, Robert M. Guralnick +4

Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . We investigate the number and sizes of the $P_{n} ∖ S_{n} / P_{n}$ double cosets, showing that most double cosets…