12 citations · 33 across the 19 of their papers we have counts for
20 papers
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.
A proof of the Etzion-Silberstein conjecture for monotone and MDS-constructible Ferrers diagrams
Alessandro Neri, Mima Stanojkovski
Ferrers diagram rank-metric codes were introduced by Etzion and Silberstein in 2009. In their work, they proposed a conjecture on the largest dimension of a space of matrices over…
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 $…
On homomorphic encryption using abelian groups: Classical security analysis
Eleni Agathocleous, Vishnupriya Anupindi, Annette Bachmayr +3
In [15], Leonardi and Ruiz-Lopez propose an additively homomorphic public key encryption scheme whose security is expected to depend on the hardness of the learning homomorphism wi…
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…
Subspaces Fixed by a Nilpotent Matrix
Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski +1
The linear spaces that are fixed by a given nilpotent matrix form a subvariety of the Grassmannian. We classify these varieties for small . Mutiah, Weekes and Yacob…
Submodule codes as spherical codes in buildings
Mima Stanojkovski
We give a generalization of subspace codes by means of codes of modules over finite commutative chain rings. We define a new class of Sperner codes and use results from extremal co…
Bolytrope orders
Yassine El Maazouz, Gabriele Nebe, Mima Stanojkovski
Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most from some polytrope. We prove that the points of a bolytrope describe…
Abelian invariants and a reduction theorem for the modular isomorphism problem
Leo Margolis, Taro Sakurai, Mima Stanojkovski
We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the…
Orders and Polytropes: Matrix Algebras from Valuations
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe +2
We apply tropical geometry to study matrix algebras over a field with valuation. Using the shapes of min-max convexity, known as polytropes, we revisit the graduated orders introdu…
Valued rank-metric codes
Yassine El Maazouz, Marvin Anas Hahn, Alessandro Neri +1
In this paper, we study linear spaces of matrices defined over discretely valued fields and discuss their dimension and minimal rank drops over the associated residue fields. To th…
Cryptographic multilinear maps using pro-p groups
Delaram Kahrobaei, Mima Stanojkovski
To any nilpotent group of class n, one can associate a non-interactive key exchange protocol between n+1 users. The multilinear commutator maps associated to nilpotent groups play…
On the Modular Isomorphism Problem for groups of class 3 and obelisks
L. Margolis, M. Stanojkovski
We study the Modular Isomorphism Problem applying a combination of existing and new techniques. We make use of the small group algebra to give a positive answer for two classes of…
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…
Toric varieties from cyclic matrix semigroups
Francesco Galuppi, Mima Stanojkovski
We present and expand some existing results on the Zariski closure of cyclic groups and semigroups of matrices. We show that, with the exclusion of isolated points, their irreducib…
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 .…