3 papers
math.GR2026
Independence and strong independence complexes of finite groups
Andrea Lucchini, Mima Stanojkovski
Let be a finite group. In 2024, Cameron introduced two different concepts of independence (namely independence and strong independence) for the subsets of , yielding to the…
math.GR2026
Geometric invariants for -groups of class 2 and exponent
E. A. O'Brien, Mima Stanojkovski
We introduce geometric invariants for -groups of class and exponent . We report on their effectiveness in distinguishing among 5-generator -groups of this type.
math.GR2025
Smooth cuboids in group theory
Joshua Maglione, Mima Stanojkovski
A smooth cuboid can be identified with a matrix of linear forms, with coefficients in a field , whose determinant describes a smooth cubic in the projective plane. T…