M. Loukaki

activity

20042026

most citedLinear limits of irreducible characters

5 citations · 13 across the 16 of their papers we have counts for

collaborators

18 papers

math.GR2026

A simultaneous variant of the Hall-Paige theorem and applications

Maria Loukaki

For $k \geq 1$ , we say that a finite group $G$ satisfies property $P_{k}$ if, for every $β_{1}, \dots, β_{k} \in Aut (G)$ , there exists a bijection $f$ of $G$ such th…

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.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.NT2024

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

Maria Loukaki

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

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…

math.GR2023

Common transversals and complements in abelian groups

Stefanos Aivazidis, Maria Loukaki, Benjamin Sambale

Given a finite abelian group $G$ and cyclic subgroups $A$ , $B$ , $C$ of $G$ of the same order, we find necessary and sufficient conditions for $A$ , $B$ , $C$ to admit a common transv…

math.GR2022

The $X$ -series of a $p$ -group and complements of abelian subgroups

Stefanos Aivazidis, Maria Loukaki

Let $G$ be a $p$ -group. We denote by $X_{i} (G)$ the intersection of all subgroups of $G$ having index $p^{i}$ , for $i \leq lo g_{p} (∣ G ∣)$ . In this paper, the newly introduced s…

math.GR2022

On the common transversal probability in finite groups

S. Aivazidis, M. Loukaki, T. W. Mueller

Let $G$ be a finite group, and let $H$ be a subgroup of $G$ . We compute the probability, denoted by $P_{G} (H)$ , that a left transversal of $H$ in $G$ is also a right transversal, thu…

math.GR2022★ 1 cited

Doubly stochastic arrays with small support

Maria Loukaki

An $n \times m$ non-negative matrix with row sum $m$ and column sum $n$ is called doubly stochastic. We answer the problem of finding doubly stochastic matrices of smallest posible…

math.GR2022

On the number of constituents of products of characters

M. Loukaki, A. Moretó

It has been conjectured that if the number of distinct irreducible constituents of the product of two faithful irreducible characters of a finite $p$ -group, for $p \geq 5$ , is bigger…

math.GR2022

Counting characters of small degree in upper unitriangular groups

Maria Loukaki

Let $U_{n}$ denote the group of upper $n \times n$ unitriangular matrices over a fixed finite field $F$ of order $q$ . That is, $U_{n}$ consists of upper triangular $n \times n…

math.GR2022

On Distinct Character Degrees

Maria Loukaki

Berkovich, Chillag and Herzog characterized all finite groups $G$ in which all the nonlinear irreducible characters of $G$ have distinct degrees. In this paper we extend this resul…

math.GR2022

Subgroup congruences for groups of prime power order

Stefanos Aivazidis, Maria Loukaki

Given a $p$ -group $G$ and a subgroup-closed class $X$ , we associate with each $X$ -subgroup $H$ certain quantities which count $X$ -subgroups contain…

math.GR2004★ 4 cited

Normal subgroups of odd-order monomial $p^{a} q^{b}$ groups

Maria Loukaki

A finite group $G$ is called monomial if every irreducible character of $G$ is induced from a linear character of some subgroup of $G$ . One of the main questions regarding monomial…

math.GR2004★ 5 cited

Linear limits of irreducible characters

Everett Dade, Maria Loukaki

Nearly twenty years ago Isaacs and the first author of this paper wrote a series of articles \cite{isa2}, \cite{da3}, \cite{da2} about what were called ``stabilizer limits'' of gro…

math.GR2004

Hyperbolic modules and cyclic subgroups

Maria Loukaki

Let $G$ be a finite group of odd order, $\F$ a finite field of odd characteristic $p$ and $\B$ a finite--dimensional symplectic $\F G$-module. We show that $\B$ is $\F G$-hyperboli…

math.GR2004

Extendible characters and monomial groups of odd order

Maria Loukaki

Let $G$ be a finite $p$ -solvable group, where $p$ is an odd prime. We establish a connection between extendible irreducible characters of subgroups of $G$ that lie under monomial c…

math.GR2004★ 3 cited

Homogeneous products of characters

Edith Adan-Bante, Maria Loukaki, Alexander Moretó

I. M. Isaacs has conjectured (see \cite{isa00}) that if the product of two faithful irreducible characters of a solvable group is irreducible, then the group is cyclic. In this pap…

A simultaneous variant of the Hall-Paige theorem and applications

Three subgroup common transversal in abelian groups

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

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

Counting in nilpotent injectors and Carter subgroups

Common transversals and complements in abelian groups

The X-series of a p-group and complements of abelian subgroups

On the common transversal probability in finite groups

Doubly stochastic arrays with small support

On the number of constituents of products of characters

Counting characters of small degree in upper unitriangular groups

On Distinct Character Degrees

Subgroup congruences for groups of prime power order

Normal subgroups of odd-order monomial paqb groups

Linear limits of irreducible characters

Hyperbolic modules and cyclic subgroups

Extendible characters and monomial groups of odd order

Homogeneous products of characters

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

The $X$ -series of a $p$ -group and complements of abelian subgroups

Normal subgroups of odd-order monomial $p^{a} q^{b}$ groups