3 papers
math.GR2026
A residually finite analogue of Kegel's theorem on splitting automorphisms
Alfonso Di Bartolo, Kıvanç Ersoy, Kıvanç Ersoy +1
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.RA2025
A New Definition of Superbiderivations for Lie Superalgebras
Alfonso Di Bartolo, Francesco Paolo Di Fatta, Gianmarco La Rosa
In this paper, we study superbiderivations on Lie superalgebras from structural and geometric perspectives. Motivated by the classical fact that the bracket of a Lie algebra is its…
math.RA2024
Non-nilpotent Leibniz algebras with one-dimensional derived subalgebra
Alfonso Di Bartolo, Gianmarco La Rosa, Manuel Mancini
In this paper we study non-nilpotent non-Lie Leibniz -algebras with one-dimensional derived subalgebra, where is a field with $\operatorname{char}(\mathbb{…