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20172025
most citedOn the Modular Isomorphism Problem for groups of class 3 and obelisks

12 citations · 33 across the 19 of their papers we have counts for

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9 papers · 1 filter

math.GR2025

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.GR2024

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.GR2023★ 1 cited

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 $…

math.GR2022★ 1 cited

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…

math.GR2022★ 1 cited

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…

math.GR2020

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…

math.GR2019★ 2 cited

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…

math.GR2017★ 1 cited

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…

math.GR2017★ 2 cited

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 .…