R. Guralnick

activity

20222026

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

1 citations · 2 across the 6 of their papers we have counts for

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math.GR2026

Coprime automorphisms of profinite groups and the commuting probability of Sylow subgroups

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

Given two (closed) subgroups H, K of a profinite group G, we write Pr(H,K) for the probability that a random pair from HxK commutes. Here we are concerned with profinite groups con…

math.GR2026

Rank properties of commutators in finite groups

Cristina Acciarri, Robert M. Guralnick, Evgeny Khukhro +1

For a subset $S$ of a finite group $G$ , let $I_{G} (S)$ denote the set of commutators $[g, x] = g^{- 1} g^{x}$ , where $g \in G$ and $x \in S$ . Suppose that a finite group $G$ has a Carter subg…