2 papers
math.GR2026
Finite groups with high commuting probability for Sylow subgroups
Eloisa Detomi, Débora Senise, Pavel Shumyatsky
Given two subsets of a finite group , we write for the probability that random elements and commute. If are subgroups, we denote by $\…
math.GR2025
On finite groups with bounded conjugacy classes of commutators
Débora Senise, Pavel Shumyatsky
In 1954 B. H. Neumann discovered that if is a group in which all conjugacy classes have finite cardinality at most , then the derived group is finite of -bounded ord…