3 papers
math.GR2026
Finite Non--Groups with 5 Automorphism Orbits
Julia Kato
We obtain a characterization of finite non--groups with five automorphism orbits. In the solvable case of Fitting height , the groups are precisely and $C_2^4\rtimes D_…
math.GR2026
Generalized torsion in triangular matrix groups
Júlia Kato, Douglas Silva
An element of a group is called generalized torsion if a finite product of its conjugates equals the identity. We characterize the generalized torsion subset of upper triangular ma…
math.GR2025
Automorphism Orbits of the Group of Unitriangular Matrices
Emerson de Melo, Júlia Kato
Let be a group. The orbits of the natural action of on are called the automorphism orbits of , and their number is denoted by . Let be an inf…