2 papers
math.GR2026
A residually finite analogue of Kegel's theorem on splitting automorphisms
Alfonso Di Bartolo, Kıvanç Ersoy, Giovanni Falcone
Thompson proved that every finite group admitting a fixed-point-free automorphism of prime order is nilpotent, and Kegel showed that the same conclusion holds for finite groups adm…
math.CO2024
Extensions of Steiner Triple Systems
Giovanni Falcone, Agota Figula, Mario Galici
In this article we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corres…