M. Pellegrini

activity

20082022

most citedGlobally simple Heffter arrays and orthogonal cyclic cycle decompositions

23 citations · 45 across the 24 of their papers we have counts for

collaborators

30 papers

math.CO2022

Magic partially filled arrays on abelian groups

Fiorenza Morini, Marco Antonio Pellegrini

In this paper we introduce a special class of partially filled arrays. A magic partially filled array $MPF_{Ω} (m, n; s, k)$ on a subset $Ω$ of an abelian group $(Γ, +)$ is a pa…

math.GR2022★ 1 cited

Sylow normalizers and irreducible characters with small cyclotomic field of values

Nicola Grittini, Marco Antonio Pellegrini

In this paper, we prove the existence of a relation between the prime divisors of the order of a Sylow normalizer and the degree of characters having values in some small cyclotomi…

math.GR2022

The (2,3)-generation of the finite 8-dimensional orthogonal groups

M. A. Pellegrini, M. C. Tamburini Bellani

We construct $(2, 3)$ -generators for the finite $8$ -dimensional orthogonal groups, proving the following results: the groups $Ω_{8}^{+} (q)$ and $P Ω_{8}^{+} (q)$ are $(2, 3)$ -generated if and…

math.CO2021

Rectangular Heffter arrays: a reduction theorem

Fiorenza Morini, Marco Antonio Pellegrini

Let $m, n, s, k$ be four integers such that $3 \leq s \leq n$ , $3 \leq k \leq m$ and $m s = nk$ . Set $d = g cd (s, k)$ . In this paper we show how one can construct a Heffter array $H (m, n; s, k)$ …

math.CO2021

Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture

M. A. Ollis, Anita Pasotti, Marco A. Pellegrini +1

Label the vertices of the complete graph $K_{v}$ with the integers ${0, 1, \dots, v - 1}$ and define the length of the edge between $x$ and $y$ to be $min (∣ x - y ∣, v - ∣ x - y ∣)$ .…

math.CO2020★ 1 cited

Magic rectangles, signed magic arrays and integer $λ$ -fold relative Heffter arrays

Fiorenza Morini, Marco Antonio Pellegrini

Let $m, n, s, k$ be integers such that $4 \leq s \leq n$ , $4 \leq k \leq m$ and $m s = nk$ . Let $λ$ be a divisor of $2 m s$ and let $t$ be a divisor of $\frac{2 m s}{λ}$ . In this paper we constru…

Magic partially filled arrays on abelian groups

Sylow normalizers and irreducible characters with small cyclotomic field of values

The (2,3)-generation of the finite 8-dimensional orthogonal groups

Rectangular Heffter arrays: a reduction theorem

Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture

Magic rectangles, signed magic arrays and integer λ-fold relative Heffter arrays

Magic rectangles, signed magic arrays and integer $λ$ -fold relative Heffter arrays