12 citations · 33 across the 19 of their papers we have counts for
9 papers · 1 filter
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…
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.
On finite -maximal groups
Andrea Lucchini, Luca Sabatini, Mima Stanojkovski
Let be a positive integer. A finite group is called -maximal if it can be generated by precisely elements, while its proper subgroups have smaller generating sets. For $…
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…
On group invariants determined by modular group algebras: even versus odd characteristic
Diego García-Lucas, Ángel del Río, Mima Stanojkovski
Let be a an odd prime and let be a finite -group with cyclic commutator subgroup . We prove that the exponent and the abelianization of the centralizer of in $G…
Orbits classifying extensions of prime power order groups
Oihana Garaialde Ocaña, Mima Stanojkovski
The strong isomorphism classes of extensions of finite groups are parametrized by orbits of a prescribed action on the second cohomology group. We study these orbits in the case of…
Hessian matrices, automorphisms of -groups, and torsion points of elliptic curves
Mima Stanojkovski, Christopher Voll
We describe the automorphism groups of finite -groups arising naturally via Hessian determinantal representations of elliptic curves defined over number fields. Moreover, we der…
Evolving groups
Mima Stanojkovski
The class of evolving groups is defined and investigated, as well as their connections to examples in the field of Galois cohomology. Evolving groups are proved to be Sylow Tower g…
Intense automorphisms of finite groups
Mima Stanojkovski
Let be a group. An automorphism of is called intense if it sends each subgroup of to a conjugate; the collection of such automorphisms is denoted by .…