M. Loukaki

activity

20242026

collaborators

4 papers

math.GR2026

Three subgroup common transversal in abelian groups

Maria Loukaki, Emmanouil Spyridakis

We completely characterize when three equal-order subgroups of a finite abelian group share a common transversal. Consequently, we determine when three full-rank lattices of equal…

math.NT2025

Chebotarev's theorem for groups of order $pq$ and an uncertainty principle

Maria Loukaki

Let $p$ be a prime number and $I^¶_{p}$ a primitive $p$ -th root of unity. Chebotarev's theorem states that every square submatrix of the $p \times p$ matrix $(Î¶_p^{ij})_{i,j=0}^{p-1}…

math.GR2025

Groups with 5 nontrivial conjugacy classes of non self-normalizing subgroups are solvable

Maria Loukaki

For any $n$ nonnegative integer a family of groups, denoted by $D_{n}$ , was introduce by Bianchi et al., as the collection of all finite groups with exactly $n$ conjugacy…

math.GR2024

Counting in nilpotent injectors and Carter subgroups

Stefanos Aivazidis, Maria Loukaki, John Shareshian

We investigate number-theoretic properties of the collection of nilpotent injectors or nilpotent projectors containing certain subgroups of finite soluble (or $N$ -constr…

Three subgroup common transversal in abelian groups

Chebotarev's theorem for groups of order pq and an uncertainty principle

Groups with 5 nontrivial conjugacy classes of non self-normalizing subgroups are solvable

Counting in nilpotent injectors and Carter subgroups

Chebotarev's theorem for groups of order $pq$ and an uncertainty principle