M. Loukaki

activity

20042026

most citedLinear limits of irreducible characters

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

collaborators

Showing 2022Show all

7 papers · 1 filter

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…

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

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